Solve all please.

At Arab American University, the probability that a student takes calculus II and Bio-statistics in the same semester is 0.008, the probability that a student takes statistics is 0.05. Find the probability that a student is taking calculus, given that he or she is taking statistics.

a.

0. 20

b.

0.16

c.

0.1

d.

0.625

Question 26 If the probability of a student taking a calculus class is 0.10, the probability of taking a statistics class is 0.90, and the probability of taking a calculus class and a statistics class is 0.07, what is the probability of a student taking a calculus class or a statistics class? Provide your answer below:2. Suppose 42%% of Ph.D.s in statistics/biostatistics are earned by women and a random sample 36 statistics/biostatistics Ph.Dis is obtained. (You may want to use technology to compute some of the probabilities.) a. What's the probability none of the 36 statistics/biostatistics Ph.D.s are women? b. What's the probability at least 1 of the 36 statistics/biostatistics Ph.D.s is a woman? c. How many women do you expect in the sample of the 35 statistics/biostatistics Ph.D.s? d. What's the probability fewer than half of the 36 statistics/biostatistics Ph.D.s are women?3. Suppose students have a 0.8 probability of getting an A in Statistics and a 0.9 probability of getting an A in Linear Algebra. If the probability of getting an A in Statistics or an A in Linear Algebra is 1, find the probability that a student gets an A in Statistics and gets an A in Linear Algebra. b) If the probability of getting an A in Statistics and an A in Linear Algebra is 0.76, find the probability that a student does not get an A in Statistics or in Linear Algebra. c) Find the smallest upper bound probability that a student does not get an A in either Statistics or Linear Algebra. (Hint: IIse Rooles' inequality to get an unner hound. )Probability HW 1 Due February 18 Show all work (this includes formulas!) 1. A student is taking two summer courses, Statistics and Desktop Support Technology. The probability that the student will pass Statistics is 80. The probability that the student will pass Desktop Support is .92. The probability that the student will pass both is .84. A. What is the probability that the student will pass at least one course? B. What is the probability they will not pass statistics