Suppose that the response time X of a subject to a stimulus is N(15, 16). If n-16, then the probability of the sample mean greater than 12 is: O a. 0.9772 Ob. 0.9987 OC. 0.0013 Od. 0.7899
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- 4. For a population with a µ = 72 and o = 20. What is the probability of obtaining a sample mean greater than 75 a. for a random sample of N = 100 scores? b. for a random sample of N = 225 scores?P = 0.55, and a random sample of size n ugo from the population. a. What is the probability that the sample proportion 150 drawn %3D od blug e is more than 0.60? b. What is the probability that the sample proportion Iw borned to si is less than 0.52? 6.3 uc. What is the probability that the sample proportion is relsi a between 0.51 and 0.59? aronortionThe probability is 0.35 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y. Only typing answer Please explain step by step
- answer the second question.Is the following random variable discrete or continuous? Let X represent the number of books in a random professor's office.32 - The random variable X, which shows the grades of the students in a class in the exam of the statistics course, has a normal distribution with a mean of 80 and a variance of 25. Which of the following is the lowest grade with a probability of 0.3015? a) 32.5 B) 55 NS) 82.5 D) 68 TO) 89
- 2 of 4 (0 complete) Using the data given below, determine whether it would unusual for a household to have no HD televisions. The number of televisions (HD) per household in a small town Televisions 1 Households 26 445 655 1474 P(x) 0.010 0.171 0.252 0.567 Choose the correct answer below. O A. It would be unusual because the probability of having no HD televisions is less than 0.05. O B. It would not be unusual because the probability of having no HD televisions is more than 0.05. OC. It would not be unusual because 26 people have no HD televisions in the town. O D. It would be unusual because 26 people have no HD televisions in the town. Click to select your answer.Suppose the horses in a large stable have a mean weight of 818 lbs, and a variance of 3481. What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 18 lbs if 34 horses are sampled at random from the stable? 0.920 0.925 0.912 O 0.945 None of these tLet X be a random variable with the following PMF: X = k k=-5 k=-2 k=0 k=2 k=5 P(X=k) 0.3 0.05 0.05 0.2 0.4 What is the probability that X is a negative number. Group of answer choices 0.6 0.4 0.35 1
- Q2] As shown in the table below that gives the age distribution of individuals starting new university employments. Find the following probabilities: 1-Ages (28-39). 2- Age>55. 3-Age<35. N:15 G:2 R=30 15-24 25-34 35-44 45-54 320-R 420+R| 315 55-64 Age Frequency 65-74 120 250 220-R3In a population of statistics students it was found that the mean score on the final is 150 with a standard deviation of 20 points. Ifa student is chosen at random, what is the probability that their grade will be less than 115? O 03867 O 0.3707 O 0.9599 O 0.5987 O 0.0401
