4. Use the given values of n and p to find the minimum usual value - 2 and the m
ID: 3135142 • Letter: 4
Question
4. Use the given values of n and p to find the minimum usual value - 2 and the maximum usual value + 2. n = 1205, p = 0.98.
Min: 1171.18; Max: 1190.62
Min: 1190.62; Max: 1171.18
Min: 1174.03; Max: 1187.77
Min: 1176.04; Max: 1185.76
5. Identify the given random variable as being discrete or continuous. The cost of a randomly selected orange.
Continuous.
Discrete.
6. Suppose that random guesses are made for 5 questions on a multiple-choice test (n = 5). Suppose that there are 5 different options to choose from for each problem (p = 0.20). Using a binomial distribution, what is the probability that the number of correct scores is exactly 3?
0.5421
0.1257
0.0512
0.2435
7. Determine whether the following is a probability distribution. In a certain town, 40% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree.
x
P(x)
0
0.0992
1
0.3456
2
0.3456
3
0.1536
4
0.056
This is not a probability distribution.
This is a probability distribution.
8. Suppose that 20% of students have an A in a particular class. Assume that 5 people from the class are randomly polled. What is the probability that exactly one of them has an A?
0.200
0.591
0.450
0.410
9. If one of your exams is a multile choice test with 4 possible answers (A, B, C, D) to each problem, and 10 problems total. If you randomly guess, what is the probability that you will get 8 or more correct?
0.0012
0.0004
0.0034
0.0056
10.If z is a standard normal variable, find the probability P(z < 0.97).
0.8078
0.8340
0.1660
0.8315
11. In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. For a randomly selected home, find the probability that the September energy consumption level is between 1100 kWh and 1225 kWh.
0.2881
0.3791
0.0910
0.1971
12. A normal quartile plot is given below for the lifetimes (in hours) of a sample of batteries of a particular brand. Use the plot to assess the normality of the lifetimes of these batteries.
The data is not normally distributed.
The data is normally distributed.
13. If z is a standard normal variable, find the probability P(-0.73 < z < 2.27).
1.54
0.2211
0.4884
0.7557
14. A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 170 and 220.
0.0703
0.3811
0.2257
0.1554
15. Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Shaded area is 0.4483.
0.3264
0.13
0.6736
-0.13
16. Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Shaded area is 0.0694.
1.26
1.39
1.45
1.48
17. Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
0.8708
0.8485
0.1292
0.8907
18. The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 300 days?
0.4834
0.0179
0.9834
0.0166
19. If z is a standard normal variable, find the probability that z lies between 0.7 and 1.98.
0.2175
0.2181
-0.2181
1.7341
20. In a population of 210 women, the heights of the women are normally distributed with a mean of 64.4 inches and a standard deviation of 2.9 inches. If 36 women are selected at random, find the mean (mu sub x-bar) and standard deviation (sigma sub x-bar) of the population of sample means. Assume that the sampling is done without replacement and use a finite population correction factor.
64.4 inches, 0.44 inches
64.4 inches, 2.07 inches
64.4 inches, 2.9 inches
58.8 inches, 2.65 inches
A.Min: 1171.18; Max: 1190.62
B.Min: 1190.62; Max: 1171.18
C.Min: 1174.03; Max: 1187.77
D.Min: 1176.04; Max: 1185.76
Explanation / Answer
5) A. continuous
7) NOt a prob distribution
8) D . 0.410
9) B.0.0004
10) C.0.1660
11) D.0.1971
18) D.0.0166
19)
0.2181
20)
64.4 inches, 2.9 inches
B.0.2181
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