(1 point) Let Y be a Binomial variable counting the number of successes in 70 independent trials where the probability of success at each trial is 0.57; that is, Y - Bin(70, 0.57). Part a) Use the...


(1 point) Let Y be a Binomial variable counting the number of successes in 70 independent trials where the probability of success at each trial is 0.57;<br>that is, Y - Bin(70, 0.57).<br>Part a) Use the pbinom function in R to find P(35 < Y < 45), giving your answer to three decimal places.<br>Part b) Use the qbinom function in R to find the smallest value y such that P(Y < y) > 0.25.<br>

Extracted text: (1 point) Let Y be a Binomial variable counting the number of successes in 70 independent trials where the probability of success at each trial is 0.57; that is, Y - Bin(70, 0.57). Part a) Use the pbinom function in R to find P(35 < y="">< 45),="" giving="" your="" answer="" to="" three="" decimal="" places.="" part="" b)="" use="" the="" qbinom="" function="" in="" r="" to="" find="" the="" smallest="" value="" y="" such="" that="" p(y="">< y)=""> 0.25.

Jun 02, 2022
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