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A production process produces 2% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?
0.0038
In a binomial experiment the probability of success is 0.06. What is the probability of two successes in seven trials?
0.0555
Given that Z is a standard normal random variable, what is the probability that -2.51≤Z≤-1.53
0.0570
Refer to Exhibit 3. What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $47,500?
0.0668
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 7 are female?
0.1064
Exhibit 1 Consider the continuous random variable X, which has a uniform distribution over the interval from 20 to 28. Refer to Exhibit 1. The probability density function has what value in the interval between 20 and 28?
0.125
Refer to Exhibit 2. The probability that x is between 3 and 6 is
0.1920
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 do not score more than 2 goals?
0.55
The following represents the probability distribution for the daily demand of computers at a local store. Demand Probability 0 0.1 1 0.2 2 0.3 3 0.2 4 0.2 The probability of having a demand for at least two computers is
0.7
The probability distribution for the daily sales at Michael's Co. is given below. Daily Sales (In $1,000s) Probability 40 0.1 50 0.4 60 0.3 70 0.2 The probability of having sales of no more than $60,000 is
0.8
Refer to Exhibit 1. The mean of X is
24
Which of the following is not a characteristic of an experiment where the binomial probability distribution is applicable?
The trials are dependent
The weight of an object is an example of
a continuous random variable
The Poisson probability distribution is used with
a discrete random variable
The binomial probability distribution is used with
a discrete random variable
The number of customers that enter a store during one day is an example of
a discrete random variable
A continuous random variable may assume
any numerical value in an interval or collection of intervals
A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a
binomial probability distribution
The Poisson probability distribution is a
discrete probability distribution
To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use the
hypergeometric probability distribution
The expected value of a discrete random variable
is the average value for the random variable over many repeats of the experiment
In a standard normal distribution, the
mean is 0 and the standard deviation is 1
The expected value for a binomial distribution is given by equation
np
The variance Var(x) for the binomial distribution is given by equation
np(1 - p)
The function that defines the probability distribution of a continuous random variable is a
probability density function
A description of the distribution of the values of a random variable and their associated probabilities is called a
probability distribution
Larger values of the standard deviation result in a normal curve that is
wider and flatter
Refer to Exhibit 1. The probability that X will take on a value between 21 and 25 is
0.500
X is a normally distributed random variable with a mean of 5 and a variance of 4. The probability that X is greater than 10.52 is
0.0029
The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. The probability that there are 8 occurrences in ten minutes is
.0771
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?
.55
X is a normally distributed random variable with a mean of 12 and a standard deviation of 3. The probability that X equals 19.62 is
0.000
Refer to Exhibit 1. The probability that X will take on a value of at least 26 is
0.250
Refer to Exhibit 2. The probability that x is less than 5 is
0.3935
The probability distribution for the daily sales at Michael's Co. is given below. Daily Sales (In $1,000s) Probability 40 0.1 50 0.4 60 0.3 70 0.2 The probability of having sales of at least $50,000 is
0.90
Given that Z is a standard normal random variable, what is the probability that -2.08≤Z≤1.46?
0.9091
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 at least 1 goal?
0.95
Exhibit 3 The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000. Refer to Exhibit 3. What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $30,000?
0.9772
Given that Z is a standard normal random variable, what is the probability that Z≥-2.12?
0.9830
Roth is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below. New Clients Probability 0 0.05 1 0.10 2 0.15 3 0.35 4 0.20 5 0.10 6 0.05 The standard deviation is
1.431
Exhibit 2 f(x)=1/10e−x/10 x≥0 Refer to Exhibit 2. The mean of x is
10
Roth is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below. New Clients Probability 0 0.05 1 0.10 2 0.15 3 0.35 4 0.20 5 0.10 6 0.05 The variance is
2.047
Random variable x has the probability function f(x) = X/6, for x = 1, 2 or 3 The expected value of x is
2.333
Roth is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below. New Clients Probability 0 0.05 1 0.10 2 0.15 3 0.35 4 0.20 5 0.10 6 0.05 The expected number of new clients per month is
3.05
Refer to Exhibit 1. The variance of X is approximately
5.333
Refer to Exhibit 3. What percentage of MBA's will have starting salaries of $34,000 to $46,000?
76.98%
The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. Which of the following discrete probability distributions' properties are satisfied by random variable x?
Poisson
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
Poisson distribution
When dealing with the number of occurrences of an event over a specified interval of time or space, the appropriate probability distribution is a
Poisson distribution
Which of the following is a characteristic of the normal probability distribution?
The distribution is symmetrical
A random variable that may take on any value in an interval or collection of intervals is known as a
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
continuous random variable
A numerical description of the outcome of an experiment is called a
random variable
In a binomial experiment
the probability does not change from trial to trial
The key difference between the binomial and hypergeometric distribution is that, with the hypergeometric distribution
the probability of success changes from trial to trial
The probability distribution for the daily sales at Michael's Co. is given below. Daily Sales ($1,000s) Probability 40 0.1 50 0.4 60 0.3 70 0.2 The expected daily sales are
$56,000
Experiments with repeated independent trials will be described by the binomial distribution if
each trial has exactly two outcomes whose probabilities do not change
In a Poisson probability problem, the rate of defects is one every two hours. To find the probability of three defects in four hours,
μ = 2, x = 3
Which of the following is a required condition for a discrete probability function?
∑f(x) = 1 for all values of x