Question

Thirty-two percent of the students in a management class are graduate students. A random sample of 5 students is selected. Using the binomial probability function, determine the probability that the sample contains two or more graduate students? (Please express answer to four decimal places in the following form: 2.5555 or 2.0001). Question 12 0.5 pts Thirty-two percent of the students in a management class are graduate students. A random sample of 5 students is selected. Using the binomial probability function, determine the probability that the sample contains exactly 3 graduate students? (Please express answer to four decimal places in the following form: 2.5555 or 2.0001). Question 13 0.5 pts Thirty-two percent of the students in a management class are graduate students. A random sample of 5 students is selected. Using the binomial probability function, determine the probability that the sample contains exactly 0 graduate students? (Please express answer to four decimal places in the following form: 2.5555 or 2.0001).

Answer 1

solution Question 11 Here we have to find p(x22) from Binomial distributiam PCX=x) = M, Coy" long) * from the given data P: 0.32 IP20.68 nos Now, Pfx22) = P(x=1) e p(x=s) e peo= ) #pew:s). :((0-32% (0.620)+((0.3397062%')+(€, 10.39€6.08) ( (0.33% (0.683) 2 0.3220+ 0.51S+ 0.03577 0.0034 Plx22) = 0.51267 Question - 12 Here we have to find P(x=3) Srom the given data: Pleas); ((0.33% (0.687) P(x+3) = (0.1515)

avestama 13 : Here we have to find P(x=0) from the given data: P(470): € (0.32 ) Corelskette Hom 2.0) (I) (O.146393356) P (2000) 10.1454 Question athi Here we have to find P(x22) from the given data: P(x<2) = P(x=0) +P (= 1) 1660-339(663)) + (%, (0.38) (0.6834) 3 o.1454 + 0.3421 P(x-2) - 10.68757 Queshiem - 15 1. Here we have to find P(x = 2) from the given data

P(xz2); $c (0.323 (0.6833 2160) (0.1024) (0.314432) P(x=2) = 70.3220