According to a survery. 62% of murders commfied last year were deared by arrest

Question

According to a survery. 62% of murders commfied last year were deared by arrest or exceptional mears.Fitiy murders commised last year are and the number cleared by arrest or exceptonal means is recorded. When lechoclogy is used, use the tech Help button for futher assisance. (a)Find the probablity that exactty 38 of the murders were deared. (b)Find the probablity that beween 35 and 37 of the murders, indusive were cleanred. (c)Would it be unusual it fewer than 19 of the murders were cleared? Why or why not? (a) The provavlity that exacity 38 of the murders were cleared is.(b)The probablity that between 35 and 37 of the murders,indusive were cleared is.(c) Would a be unusual if fewer than 19 of the murders were clamed? Why or why not? A. Yes, it would be unusual because 19 is between mu - 2 and mu +2. B. No it would not be unustual becaute 19 is between mu -2sigma and mu + 2sigma C. Yes it would be unusual bacause 19 is liss than mu - 2sigma D. No it would not be unusual beacuse 19 is less than mu - 2sigma

Explanation / Answer

This is an instance of binomial probbaility, with probability of success, p=0.62, n=50 and specific number of success in n=50 trials, is r=38.

a) P(X=38)=50C38(0.62)^38(0.38)^12=0.0142

b) P(35<=X<=37)=(0.9736-0.9069)=0.0667

c) B)

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