Question 1197447
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Hi 
Binomial Distribution: p(ir) = .7 and  q(NOt ir) = .3,  n = 20
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
P(x  ≥  18) = 1 - p(x ≤ 17) = 1 - binomcdf( 17,20,.7) = 1 - .9645 = .0355

P(x= 14) = binompdf( 17,20,.7 0) = .0716
Or 
{{{P (x)= highlight_green(nCx)(p^x)(q)^(n-x) = highlight_green(20C17)(.7^17)(.3)^(3) }}} = .0716

(c) Find the mean and variance of the number of divorce cases that cite “irreconcilable differences” as the reason for divorce.
  mean = np = 20*.7 = 14
Variance = npq = 14*.3 = 4.2
Wish You the Best in your Studies.
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