Question

Determine the probability distribution's missing value 22. The probability that a tutor will soe o, 1,2,3, or 4 students over the course of one hour is: x 101112 314 41 5.1 a) b) o) 25 d) 10 27 27 27 Find the indicated probability. 23 Empirical evidence suggests that 25% of Florida ders are un are involved in an accident, what is the probability that more than one of them are uninsured? red. Iffour random Florida drivers a) 0.26 b) 0.05 c) 0.21 d) 0.25 ) 0.06

Answer 1

SOLUTION

sum of probability is equal to l

27 27 9

27 27 927

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formula : X ~ binomial(n,p)

7l where, C = r!n -r)!

- 0.25, n-4, q 1 - p-0.75 23.givenD

P(more than one) = P(X > 1)

P(X 1) 1- P(X <1)

P(X > 1) 1-IGC * 0.250 * 0.754-0) + (1C * 0.251 * 0.754-1 )

P(X > 1) = 1-{(1 * 1 * 0.754) + (4 * 0.25 * 0.753) }

PX>1)1-0.7383

P(X > 1) 0.2617

P(X 1) 0.26

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24. given : p = 0.70. n = 15, q = 1-p 0.30

15 -ฯ P(X = 11) =15 C * 07011 * 0.30 15-11

15! P(X 11) 0.70110.304 1115 11)!

P(X 11) 1365 * 0.701 * 0.304

P(X-11) 0.2186

P(X-11) 0.2186

P(X = 11) 0.22

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25. given p- 0.40, n-9, q-1-p-0.60

Plat least one) = P(X > 1)

9-0 P(X > 1) = 1 _ {0C * 0.400 * 0.60 }

P(X > 1) = 1 _ { 1 * 1 * 0.609}

P(X 2 1)1 10.0101)

P(X > 1) = 0.9899