Researches conducted a study to determine whether there were significant differe

Question

Researches conducted a study to determine whether there were significant differences in graduation rates between medical students admitted through special programs and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 98% for the medical students admitted through special programs in all medical schools. Complete parts (a) and (b) below If 12 of the students admitted through special programs are randomly selected find the probability that at least 11 of them graduated The probability that at least 11 of the 12 students graduated is. (Round to three decimal places as needed)

Explanation / Answer

Total no.of students= n=12.

P=probability of getting graduate from special classes=98% ==0.98

q = 1_p =0.02

By using binomial distribution,

P(x=r) = ncr. p^r.q^(n_r)

Now,

P(x>=11) = p(x=11)+p(x=12)

=12c11.(0.98)^11.(0.02)^1+12c12.(0.98)^12.(0.02)^0

=0.9769.~= 0.977.

=

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