A novice marksman is shooting at a target 1000 feet away. The probability of his hitting the target is 0.3. a. What is the probability that he hits the target on the 25th shot? b What is the probability that he will have to shoot more than 200 times to hit the target? c. What is the probability that the number of shots he has to take to hit the target is greater than or equal to 60? d. What is the probability it will take him more than 1020 shots to hit it? e. What is the probability that the number of shots he will have to make to hit the target is 20 or fewer? f. What is the expected number of shots it will take him to hit the target? g. What is the variance of the number of shots needed to hit the target?

Find the probability of that he or she owns a credit card given that the student is a freshman. Round your answer to the three decimal places

The probability that an event will happen is P(E)= 0.47. Find the probability that the event will not happen. The probability that the event will not happen is (Simplify your answer.)

The probability of A is 0.4. The probability of AC is 0.6. The probability of (B | A) is 0.5, and the probability of (B | AC) is 0.2. Using Bayes' formula, what is the probability of (A | B)? . Please explain the Bayes’ formula.

The probability of a student cheating is 0.6, the probability of a student getting caught given that he/she has cheated is 0.3 and the probability of a student not getting caught given that he/she has cheated is 0.7. Let’s say, a student got caught. a. What is the probability that the student cheated? b. What is the probability that the student didn’t cheat?

do not use chatgpt, Explain it correctly with formula.

D) How to find the probability the number on top is even or less than 3?

The batteries manufactured by a certain company are tested to see if they last as long as the manufacturer claims. The probability that a battery passes the test is 0.85. Three batteries are selected at random and tested. what is a. The probability that all three batteries pass the test b. The probability that all three batteries fail the test. c. The probability that at least one battery fails the test. d The probability that at least one battery passes the test.

Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly two girls in ten births.   A. 11.250 B. 0.044 C.0.2 D.0.02

Find the probability of the indicated event if P(E)= 0.40 and P(F)=0.50. Find P(E or F) if P(E and F) = 0.05. P(E or F) = (Simplify your answer.)