Question: 16.Given that Z is a standard normal variable, the value z for which P(Z z) = 0.258 is: a. - 0.65 b. 0.70 c. 0.76

16.Given that Z is a standard normal variable, the value z for which P(Z z) = 0.258 is:

a. - 0.65

b. 0.70

c. 0.76

d.- 0.84

17. If Z is a standard normal random variable, then P(-1.75 Z -1.25) is:

a. 0.040

b.0.066

c.0.106

d.0.854

18. Which of the following statements is False?

a. Using the normal curve, the P(Z < 1.28) is approximately 0.9

b. In the normal distribution, the total area under the curve is equal to one (1)

c. The mean of any normal distribution is always zero

d. Using the standard normal curve, the area between z = 0 and z = 3.50 is about 0.50

19 The following table shows the ages for 40 employees at a manufacturing company.

What is the mean age?

Age Frequency
20 - 24 5
25 - 29 7
30 - 34 11
35 - 39 13
40 - 44 4

a.35.409

b.33.136

c. 32.500

d.31.834

20. The following table shows the ages for a sample of 40 employees at a manufacturing company. What is the standard deviation for the ages?

Age Frequency
20 - 24 5
25 - 29 7
30 - 34 11
35 - 39 13
40 - 44 4

(a) 35.641

(b) 5.970

(c) 5.249

(d) 27.552

21. If voting in an election is independent and the probability of supporting the Peoples Party is 0.6, what is the probability that in a random sample of 18 voters there are exactly 4 supporters of the Peoples Party?

a. 0.232

b.0.500

c.0.240

d.0.001

22.Ten top executives were asked to vote on two new workplace policies (Policy A and Policy B). The probability that policy A will be supported by a voter is 0.62 and the probability that policy B will be supported by a voter is 0.45. Assuming that these executives' votes are independent, find the probability that a randomly selected executive supports at least one of these policies?

a.0.512

b.0.791

c.0.279

d.0.209

23.Ten top executives were asked to vote on two new workplace policies (Policy A and Policy B). The probability that policy A will be supported by a voter is 0.62 and the probability that policy B will be supported by a voter is 0.45. Assuming that these executives' votes are independent of each other, find the probability that a randomly selected executive supports only one policy?

a. 0.512

b.0.791

c. 0.279

d. 0.209

24. Ten top executives were asked to vote on two new workplace policies (Policy A and Policy B). The probability that policy A will be supported by a voter is 0.62 and the probability that policy B will be supported by a voter is 0.45. Assuming that these executives' votes are independent, find the probability a randomly selected executive supports none of these policies?

(a) 0.512

(b) 0.791

(c) 0.279

(d) 0.209

25. Which of the following is an example of a continuous random variable?

(a) The number of cars in a parking lot.

(b) The weight of a bag of potatoes.

(c) The number of repairs at a computer shop over the course of the week.

(d) The total runs scored in a cricket game.

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