BANA exam 2 review

.594

The student body of a large university consists of 60% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample more than four are female? Use an Excel function and round your answer to three decimal places

.487

The time required to load a truck is exponentially distributed with a mean of 15 minutes. What is the probability that a truck will be loaded in 10 minutes or less? Enter your answer as a decimal not as a percent and round your answer to 3 decimal places.

.250

The time required to load a truck is exponentially distributed with a mean of 15 minutes. What is the probability that a truck will be loaded in 10 to 20 minutes? Enter your answer as a decimal not as a percent and round your answer to 3 decimal places.

.264

The time required to load a truck is exponentially distributed with a mean of 15 minutes. What is the probability that a truck will be loaded in 20 minutes or more? Enter your answer as a decimal not as a percent and round your answer to 3 decimal places.

a continuous random variable

The weight of an object is an example of

.866

The weight of football players for a team is normally distributed with a mean of 275 pounds and a standard deviation of 50 pounds. The probability of a player weighing between 200 and 350 pounds is (Round your answer to three decimal places.)

.067

The weight of football players for a team is normally distributed with a mean of 275 pounds and a standard deviation of 50 pounds. The probability of a player weighing more than 350 pounds is (Use Excel and round your answer to three decimal places.)

177

The weight of football players is normally distributed with a mean of 275 pounds and a standard deviation of 50 pounds. What is the minimum weight of the middle 95% of the players? Round your answer to one decimal place.

hypergeometric

To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use the _____ probability distribution.

cannot be both mutually exclusive and independent

Two events with nonzero probabilities

5.51

"DRUGS R US" is a large manufacturer of various kinds of liquid vitamins. The quality control department has noted that the bottles of vitamins marked 6 ounces vary in content with a mean of 6 ounces and a standard deviation of 0.3 ounces. Assume the contents of the bottles are normally distributed. Ninety-five percent of the bottles will contain at least how many ounces? Round your answer to 2 decimal places.

6.49

"DRUGS R US" is a large manufacturer of various kinds of liquid vitamins. The quality control department has noted that the bottles of vitamins marked 6 ounces vary in content with a mean of 6 ounces and a standard deviation of 0.3 ounces. Assume the contents of the bottles are normally distributed. Ninety-five percent of the bottles will contain less than how many ounces? Round your answer to 2 decimal places.

expected value

A measure of the average value of a random variable is called a(n)

a standard normal distribution

A normal distribution with a mean of 0 and a standard deviation of 1 is called

random variable

A numerical description of the outcome of an experiment is called a

89.3

A professor at a local community college noted that the grades of his students were normally distributed with a mean of 74 and a standard deviation of 10. The professor has informed us that 6.3 percent of his students received A's while only 2.5 percent of his students failed the course and received F's. What is the minimum score needed to earn an A? Enter your answer rounded to one decimal place.

discrete random variable

A random variable that can assume only a finite number of values is referred to as a(n)

.232

The student body of a large university consists of 60% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample exactly four are female? Use an Excel function and round your answer to three decimal places.

continuous random variable

An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment. The random variable in this experiment is a

.132

An insurance company has determined that on average they receive nine claims per week at their Cincinnati office. Assume that the claims distribution can be described by a Poisson distribution. What is the probability that they will receive nine claims in a week? (Round your answer to three decimal places.)

.8125

Forty percent of the students who enroll in a statistics course go to the statistics laboratory on a regular basis. Past data indicates that 65% of those students who use the lab on a regular basis make a grade of A in the course. On the other hand, only 10% of students who do not go to the lab on a regular basis make a grade of A. If a particular student made an A, determine the probability that she or he used the lab on a regular basis. Enter your answer rounded to four decimal places. Use a tree diagram to answer this question.

.014

General Hospital has noted that they admit an average of 8 patients per hour. Assuming a Poisson distribution, what is the probability that during the next hour less then 3 patients will be admitted? (Round your answer to three decimal places.)

.68

If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A union B) =

0

If A and B are mutually exclusive events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =

the product of their probabilities gives their intersection.

If two events are independent, then

Poisson distribution

In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material. The probability distribution that has the greatest chance of applying to this situation is the

wider and flatter

Larger values of the standard deviation result in a normal curve that is

2.333

Random variable x has the probability function f(x) = X/6, for x = 1, 2 or 3 The expected value of x is

.5

The ages of students at a university are normally distributed with a mean of 21. What proportion of the student body is at least 21 years old? Round your answer to two decimal places.

8

The assembly time for a product is uniformly distributed between 6 to 10 minutes. The expected assembly time (in minutes) is (Round your answer to one decimal place.)

.5

The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability of assembling the product between 7 to 9 minutes is (Round your answer to two decimal places.)

0

The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability of assembling the product in less than 6 minutes is (Round your answer to one decimal place.)

probability of success changes from trial to trial.

The key difference between the binomial and hypergeometric distribution is that, with the hypergeometric distribution, the

.023

The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. What is the probability that a randomly selected tire will have a life of of less than 30,000 miles? Round your answer to three decimal places

.770

The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. What proportion of the tires will have a life of 34,000 to 46,000 miles? Round your answer to three decimal places.

.841

The life expectancy of computer terminals is normally distributed with a mean of 4 years and a standard deviation of 1 year. What is the probability that a terminal will last 5 years or less? Use Excel and round your answer to three decimals.

a discrete random variable

The number of customers that enter a store during one day is an example of

.5

The probability distribution for the daily sales at Michael's Co. is given below. (In 1000s) Probability 40 0.1 50 .04 60 .03 70 .23 The probability of having sales of at most $50,000 is

.95

The probability distribution for the number of goals the Lions soccer team makes per game is given below. Number of Goals Probability 0 0.05 1 0.15 2 0.35 3 0.3 4 0.15 What is the probability that in a given game the Lions will score at least 1 goal?

2.35

The probability distribution for the number of goals the Lions soccer team makes per game is given below. Number of Goals Probability 0 0.05 1 0.15 2 0.35 3 0.30 4 0.15 The expected number of goals per game is

.55

The probability distribution for the number of goals the Lions soccer team makes per game is given below. Number of Goals Probability 0 0.05 1 0.15 2 0.35 3 0.30 4 0.15 What is the probability that in a given game the Lions will score less than 3 goals?

exponential

The probability distribution that can be described by just one parameter is the​

is equal to zero

The probability that a continuous random variable takes any specific value

4.8

The student body of a large university consists of 60% female students. A random sample of 8 students is selected. What is the expected number of females selected? Round your answer to one decimal place.

.826

The student body of a large university consists of 60% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample at least four are female? Use an Excel function and round your answer to three decimal places.

.406

The student body of a large university consists of 60% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample at most four are female? Use an Excel function and round your answer to three decimal places.