Help pls ! Score: 14.19/50 6/15 answeredQuestion 4Formulas: np; np(1 - p);<esc.Here is the quick link to the scientific calculator, and from there, you may navigate to any online statisticscalculators using the "Content" tablon the upper-left-hand side.94% of the largest colleges and universities (more than 15,000 total enrollments) have some online offerings.Suppose you randomly pick 35 such intitutions, and let X be the number of intitutions that offer distancelearning courses.a. What is the distribution of X?X - ? @Please show the following answers to 4 decimal places.b. What is the probability that exactly 31 intitutions in this study offer distance learning courses?Check Answer>1c. What is the probability that at most 31 intitutions in this study offer distance learning courses?F1p(1-p)nd. What is the probability that at least 31 intitutions in this study offer distance learning courses?e. What is the probability that between 29 and 33 (including 29 and 33) intitutions in this study offerdistance learning courses?72@;2σ√nF2#3380F3$4aF44%59ReF5MacBook Air^6F6&

Probability, p=94/100=0.94 Sample size, n=35 a) X~B35,0.94 Pdf of binomial distribution, P(X=x)=nCx…

b. What is the probability that exactly 31 intitutions in this study offer distance learning courses? c. What is the probability that at most 31 intitutions in this study offer distance learning courses? d. What is the probability that at least 31 intitutions in this study offer distance learning courses? e. What is the probability that between 29 and 33 (including 29 and 33) intitutions in this study offer distance learning courses?