Question 1177176: Labor negotiators estimate that 30 percent of all major contract negotiations result in a strike. During the next year, 12 major contracts must be negotiated. Determine the following probabilities using the binomial table.
a. no major strikes b. at least 5
c. between 2 and 4 inclusive (that is 2, 3, or 4).
d. Determine the mean and variance of the number of strikes next year.
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi
Binomial Distribution: p(strike) = .30 n = 12
Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus
a. no major strikes = binompdf(n, p, x-value). = binompdf(12, .30,0) = .0138
b. P(at least 5) = P(x≥5) = 1 - P(x≤ 4) = 1-binomcdf(12, .30, 4) =1 - .7237 = .2763
c. between 2 and 4 inclusive (that is 2, 3, or 4). = P(2) + P(3) = P(4) -
P(2) + P(3) + P(4) = .1678 + .2397 + .2311
d. Determine the mean and variance of the number of strikes next year.
Mean = np = 12*.30 = 3.6
Variance = np(1-p) = 3.6(.70) = 2.52
Wish You the Best in your Studies.
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