Question

In: Statistics and Probability

Stress at work: In a poll about work, 84% of respondents said that their jobs were...

Stress at work: In a poll about work, 84% of respondents said that their jobs were sometimes or always stressful. Twelve workers are chosen at random. Round the answers to four decimal places.

(a) What is the probability that exactly 11 of them find their jobs stressful?

(b) What is the probability that more than 9 find their jobs stressful?

(c) What is the probability that fewer than 6 find their jobs stressful?

(d) Would it be unusual if fewer than 5 of them find their jobs stressful?

Expert Solution

Use excel formula " =BINOM.DIST(x, n ,p, FALSE) "

=BINOM.DIST(x, 12, 0.84, FALSE) Where, x=0,1,2....12

x	Excel formula	P(X=x)
0	=BINOM.DIST(x, 12, 0.84, FALSE)	0.0000
1	=BINOM.DIST(1, 12, 0.84, FALSE)	0.0000
2	=BINOM.DIST(2, 12, 0.84, FALSE)	0.0000
3	=BINOM.DIST(3, 12, 0.84, FALSE)	0.0000
4	=BINOM.DIST(4, 12, 0.84, FALSE)	0.0001
5	=BINOM.DIST(5, 12, 0.84, FALSE)	0.0009
6	=BINOM.DIST(6, 12, 0.84, FALSE)	0.0054
7	=BINOM.DIST(7, 12, 0.84, FALSE)	0.0245
8	=BINOM.DIST(8, 12, 0.84, FALSE)	0.0804
9	=BINOM.DIST(9, 12, 0.84, FALSE)	0.1876
10	=BINOM.DIST(10, 12, 0.84, FALSE)	0.2955
11	=BINOM.DIST(11, 12, 0.84, FALSE)	0.2821
12	=BINOM.DIST(12, 12, 0.84, FALSE)	0.1234

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It be unusual if fewer than 5 of then find their jobs stressful, since the probability is

Since the probability 0.0001 is less than 0.05. Therefore it is considered unusual.

orchestra answered 2 years ago

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