Two professors are applying for grants. Professor Jane has a probability of 0.66 of being funded. Professor Joe has probability 0.29 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent.Give your answer to four decimal places. 1. Given at least one of the professors is funded, what is the probability that Professor Jane is funded, but Professor Joe is not?

A survey shows that the students at a particular London college carry an average of £20 in cash. Assume that you’ve just met a student at random. Answer the following questions. i. Estimate the chance that the student is carrying more than £100 ii. Estimate the chance that the student is carrying less than £80.

Theresa has a bag with 4 mint sticks, 12 jelly treats, and 4 fruit tart chews. If she eats one piece every 6 minutes, what is the probability her first two pieces will be a fruit tart chew and a jelly treat and represent as a percent to the nearest tenth if necessary?A. 21.1%B. 12%C. 0.4%D. 12.6%

Solve 1a and 1c

Solve the problem.Suppose the candidate pool for two appointed positions includes 10 women and 5 men. All candidates were told that the positions were randomly filled. Find the probability that two men are selected to fill the appointed positions. Select one: A. 0.095238 B. 0.238095 C. 0.428571 D. 0.133333

I need help with a and b.

help please

John can take one of two highways, Interstate A and Interstate B, to get to work each day. The probability that there will be a traffic jam on Interstate A on a given day is 0.65, and the probability that there will be a traffic jam on Interstate B is 0.2. The probability that there will be a traffic jam on at least one of Interstate A or Interstate B is 0.8. Determine the probability that both Interstate A and B will be congested. 0.235 None in the list 0.050 0.062 0.765 Submit Answer Tries 0/3 Determine the probability that Interstate B is congested given that Interstate A is congested. 0.250 0.077 0.812 0.062 None in the list Submit Answer Tries 0/3 Determine the probability that there is a traffic jam on Interstate A given that at least one of the Interstates has a traffic jam. 0.062 None in the list 0.250 0.812 0.077

Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.