Independent

Click Here to Download this Answer Instantly

37) If events A and B are independent, then P(AB) = __________.

38) If events A and B are independent, then P(A|B) = __________.

39) If two events are not mutually exclusive, then P(A or B) = __________.

40) __________ is a measure of dispersion of random variable values about the expected value.

41) A continuous random variable can take on a(n) __________ number of values within a given interval.

42) The __________ test is a statistical test to see if an observed data fit a particular probability distribution.

43) The __________ normal distribution has a mean of 0 and a standard deviation of 1.

44) Almost all of the data from a normal distribution fall within __________ standard deviations of the mean.

45) The expected value of the standard normal distribution is equal to __________.

46) The standard deviation of the standard normal distribution is equal to __________.

Jim is considering pursuing an MS in Information Systems degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 20% for University X and 45% for University Y.
47) What is the probability that Jim will be accepted at both universities?

48) What is the probability that Jim will not be accepted at either university?

49) What is the probability that Jim will be accepted by at least one of the two universities?

Employees of a local company are classified according to gender and job type. The following table summarizes the number of people in each job category.
Male (M) Female (F)
Job
Administrative (AD) 110 10
Salaried staff (SS) 30 50
Hourly staff (HS) 60 40
50) If an employee is selected at random, what is the probability that the employee is male?

51) If an employee is selected at random, what is the probability that the employee is male and salaried staff?

52) If an employee is selected at random, what is the probability that the employee is female given that the employee is a salaried staff member?

53) If an employee is selected at random, what is the probability that the employee is female or works as a member of the administration

An automotive center keeps tracks of customer complaints received each week. The probability distribution for complaints can be represented as a table or a graph, both shown below. The random variable xi represents the number of complaints, and p(xi) is the probability of receiving xi complaints.

54) What is the probability that they receive less than 3 complaints in a week?

55) What is the average number of complaints received per week?

56) A fair die is rolled nine times. What is the probability that an odd number (1,3 or 5) will occur less than 3 times?

57) A fair die is rolled 8 times. What is the probability that an even number (2,4, 6) will occur between 2 and 4 times?

A company markets educational software products, and is ready to place three new products on the market. Past experience has shown that for this particular software, the chance of “success” is 80%. Assume that the probability of success is independent for each product.
58) Find the probability that exactly 1 of the 3 products is successful.

59) Find the probability that none of the 3 products is successful.

60) If X has the following probability distribution
X 1 2 3 4
P(X) 0.1 0.5 0.2 0.2
Compute the expected value of X

61) If X has the following probability distribution
X 1 2 3 4
P(X) 0.1 0.5 0.2 0.2
Compute the standard deviation of X.

62) If x is normally distributed with a mean of 10 and a standard deviation of 3, then P(x ≤ 6) is equal to P( Z ≤ __)?

63) For a standard normal distribution, what is the probability that z is greater than 1.75?

Two Psychology majors, in 2 different sections of Clinical Psychology, were comparing test scores. The following gives the students’ scores, class mean, and standard deviation for each section:

64) What is the z-score of the student from section 1 and what is the probability that a student in section 1 will score higher than 84?

65) What is the z-score of the student from section 2 and what is the probability that a student in section 2 will score higher than 75?

66) Which student scored better compared to the rest of the section?

67) A loaf of bread is normally distributed with a mean of 22 oz and a standard deviation of 0.5 oz. What is the probability that a loaf is larger than 21 oz?

68) A loaf of bread is normally distributed with a mean of 22 oz and a standard deviation of 0.5 oz. What is the probability that a loaf of bread is larger than 23 oz?

69) A loaf of bread is normally distributed with a mean of 22 oz and a standard deviation of 0.5 oz. What is the probability that a loaf is less than 24 oz?