Statistics Final

A bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?

0.3 Blue

The probability that Luis will pass his statistics test is 0.56. Use the complementation rule to find the probability that he will fail his statistics test.

0.44

Find the indicated probability by using the general addition rule. For a person selected randomly from a certain population, events A and B are defined as follows. A=event the person is male B= event the person is a smoker For this particular population, it is found that P(A)=0.51, P(B)=0.29, and P(A&B)=0.148 Find P(A or B)

0.652

Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. A certain question on a test is answered correctly by 22% of the respondents. Estimate the probability that among the next 150 responses there will be at most 40 correct answers.

??

The table shows the soft drink preferences of people in three age groups A. Find the marginal probability that the person is over 40 years of age. B. Find the join probability that the person is over 40 years of age and likes a root-beer. C. Find the conditional probability that the person likes a root-beer, given who is over 40 years of age.

A. 0.333 B. C.0.2940??

The events A1 and A2 are mutually exclusive and exhaustive. Check exam. Make a tree diagram. Use the rule of total probability to find P(B) Apply Bayes' rule to find (A1 l B)

A. 0.66 B. ??

Find a probability from a Standard normal distribution. A. P(Z<1.13) B. P(Z>0.59) C. P(-.73<Z<2.27)

A. 0.8708 B.?? C. 0.7557

The table shows the probability distribution of the random variable X. A. Find the mean of the random variable X. B. Obtain the standard deviation of the random variable X.

A. 1.6 B.??

Find a z-score A. For which the area under the Standard normal curve to its left is 0.96 B. For having area 0.07 to its right under the Standard normal curve. C. Determine the two z scores that divide the area under Standard normal curve into a middle 0.874 area and two outside 0.063 areas.

A. 1.75 B.?? C. -1.53, and 1.53

Determine a standard deviation (SD) using following 3 observations. 2 1 6 A. Determine a mean B. Find SD (Obs. difference, square, sum, step, and then SD)

A. 3 B. 2.65

The variable X is normally distributed with a mean 60 and a standard deviation 4. Find A. P(X<53) B. P(Greater than 70) C. P(Between 55 and 65) D. Determine the 3 quartiles E. Find 80th percentile.

A. ?? B.?? C. .7888 D. Q1-57.32 Q2-60 Q3-62.68 E. 63.36

The number of calls received by a mountain search and rescue team in a day as a Poisson Distribution with a mean of 1.2 A. Find the prob that on a random selected day, they will receive exactly 1 call. B. Find the prob that they will receive at most 1 call C. Find the prob that they will receive at least 1 call D. Obtain the standard deviation of the number of calls received.

A.0.3614 B. 0.6626 C.? D. 1.0954

The amount of coffee that a filling machine puts into an 8 oz jar is normally distributed with a mean of 8.1 ounces and a standard deviation of 0.18 oz. Determine the percentage of samples of size 16 A. That will have mean amounts of coffee at least 8.0 oz B. That will have mean amounts of coffee within 0.1 ounce of the population mean of 8.1 ounces.

A.?? B. ??

The random variable Y denotes a Binomial random variable with parameters n=10 and p. Under the normal approximation to the binomial distribution, adjust the following probabilities. A. P(at least 8) P(?<Y<?) B. P(Y<5) P(?<Y<?) C P(Y>-7) P(?<Y<?)

A.P(7.5<Y<8.5) B. P(-0.5<Y<4.5) C. P(?<Y<?)

30.1 30.0 28.5 31.0 29.5 30.5 32.5 28.0 29.9 E. obtain quartiles F. Determine a Range and an Inter-Quartile Range (IQR) G Determine a Lower Limit (LL) & Upper Limit (UL) H. Determine outlier(s) I. Make a Box-plot

E. Q1- 29.5 Q2- 30.05 Q3- 30.5 F. Range- 4.5, IQR- 1 G. UL- 32, LL-28 H. 32.5 I. Double check on the exam

Decide whether or not the two events are independent or whether it is not possible to tell. Explain your answer. P(D)=1/7 and P(DlC)=1/7

The two events are independent because P(DlC)=P(D)

Use binomial distribution. A company manufactures calculators in batches of 64 and there is a 4% rate of defects. A. Find the probability of getting exactly 4 defects in a batch B. Find the mean number of defects C. Obtain the standard deviation of the number of defects.

a. 0.1405 B. C.

The above data were obtained for 10 batches of product. They are weights in pounds. 30.1 30.0 28.5 31.0 29.5 30.5 32.5 28.0 29.9 a. What type variable of data is presented? b. Make a relative frequency table (distribution) c. Make a histogram d. Make a stem-and-leaf diagram (plot)

a. continuous numerical variable