Based on a gallup poll 65 of adults are in favor of the...

Based on a Gallup poll, 65% of adults are in favor of the death penalty. Out of 80 randomly selected adults: a. What is the expected number that favors the death penalty? b. Use the basic formula (not the calculator distribution) to determine the probability that 50 out of 80 randomly chosen adults favor the death penalty. Based on a Gallup poll, 65% of adults are in favor of the death penalty. a. The probability that 55 out of 80 favor the death penalty. b. The probability that 50 or less favor the death penalty. c. The probability that more than 60 favor the death penalty

Transcript

00:01 Hi, i'm david and i'm here to help you answer your question.

00:03 Now let me pick up your question here.

00:07 Let me make it bigger.

00:09 In this question we're going to reveal about the binomial distribution.

00:14 Let me remind you that if we have the x followed by the binomial and b and then the probability of the x equal to k it will equal to the e, it will equal to the n two scale.

00:31 B power k 1 minus b b b b b b b minus k also expected volume the x it will equal to the n times b in the question here we're given that 65 of percent of adults are in favor of the death penalty so probability equal to the 0 .65 we have n equal to the 80 sample and if we call x equal to the number of the adult that favor of the death penalty and then we see x equal followed by the polynomial n equal to 80 b equal to 0 .65 here the question i asked you not to find the expected number of the favors of death vanity it is asking that to find the e of the x so by formula equal to nb so we have equal to the 80 times when the zon 65 and then we get equal to the 52.

01:49 For the b, want to find the probability that 50 out of 80 chosen a doubt favor the debt penalty, so x exactly equal to 50.

02:02 We change you this, we need to compare this in by hand and by formula here, we get equal to 80, we choose 50, and then we have have the 0 .65 power 50, 1 minus 0 .65 power 80 minus 50.

02:24 And if we compare this one, we should get the answer.

02:28 So let me do here for you.

02:31 We have here 0 .65 and then we have 80.

02:39 And number 6 will be the 50.

02:43 And then we get equal to the 0 .0 .0...

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