questions 13.) Eighty two percent of drivers carry jumper cables in their vehicl

Question

questions 13.) Eighty two percent of drivers carry jumper cables in their vehicles. For a random sample of 115 drivers, Binomial Distributions (page 205-206) (Show how you get these either by formula or calculator) a.) What is the probability that exactly 101 carry jumper cables in their vehicle? b.) What is the probability that at most 98 carry jumper cables in their vehicle? c.) What is the probability that more than 100 carry jumper cables in their vehicle? d.) What is the mean value of the number of drivers that carry jumper cables in their vehicle? e.) What is the standard deviation? 14.) The number of school related extracurricular activities per student are given bel p(x) 0.059 0.122 0.163 0.213 0.128 0.084

Explanation / Answer

a) P(X = 101)

Use Excel function

BINOM.DIST(101,115,0.82,FALSE)

= 0.0263

B) P(X<=98)

Use Excel function

BINOM.DIST(98,115,0.82,TRUE)

= 0.8465

c) P(X>100)

Use Excel function

1-BINOM.DIST(100,115,0.82,TRUE)

= 0.0612

d) Mean = 0.82*115 = 94.3

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