Consider a binomial random variable with n = 5 and p = 0.7. Let x be the number

Question

Consider a binomial random variable with n = 5 and p = 0.7. Let x be the number of successes in the sample. (Round your answers to three decimal places.) (a) Find the probability that x is 3 or less. (b) Find the probability that x is 3 or more. Find Px 3) (d) Find P(x 3) (e) Find P(3 sxs 4). Need Help? Read ItTalk to a Tutor +-14 points MendStat14 5.E.002. consider a binomial random variable With n 9 and p = 0.1 Let x be the number o successes in the sample Round our answers to rea decimal places. (a) Find the probability that x is exactly 2. (b) Find the probability that x is less than 2 (c) Find P(x > 2) (d) Find P(2 s x s 4)

Explanation / Answer

(a) P(x=2) = (9C2)(0.1)2 (0.9)7 = 0.172

(b) P(x<2) = P(x=0) + P(x=1)

= (9C0)(0.1)0 (0.9)9 + (9C1)(0.1)1(0.9)8

= 0.775

(c) P(x>2) = 1-P(x<2) = 1-0.775 = 0.225

(d) P(2<=x<=4) = P(x=2)+P(x=3)+P(x=4)

= 0.172 + (9C3)(0.1)3 (0.9)6 + (9C4) (0.1)4 (0.9)5

=0.225

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