Professor frank nabarro insists that all senior physics majors take his notorious physics aptitude test. the test is so tough that anyone not going on to a career in physics has no hope of passing, whereas 60% of the seniors who do go on to a career in physics still fail the test. further, 90% of all senior physics majors in fact go on to a career in physics. assuming that you fail the test, what is the probability that you will not go on to a career in physics? (round your answer to four decimal places.) hint [see example 3.]

Our required probability is 0.0690.

Step-by-step explanation:

Since we have given that

Probability that seniors who do go on to a career in physics still fail the test P(F|P) = 60%

Probability that seniors who do not go to a career in physics fail the test = 1-0.6=0.4=40%

Probability that senior physics majors in fact go on to a career in physics = P(P) = 90%

Probability that he will not go on to a career in physics given that he fail the test is given by

Hence, our required probability is 0.0690.

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5

b. 2 and 4

step-by-step explanation: