The probability that Jess will answer any question correctly, independently of her answer to any other question, is p (p > 0). Let the random variable Y be the number of questions that Jess answers
correctly in any set of 25.

If Pr(Y > 23) = 6 x Pr(Y = 25), show that the value of p is 5/6

I hope my answer helps :)

Step-by-step explanation:

P(Y > 23) = P(Y = 24) + P(Y = 25)

6P(Y=25) = P(Y = 24) + P(Y = 25)

6 = P(Y = 24)/P(Y = 25)+ 1

5 = (²⁵C24×p²⁴×q¹)/(²⁵C25×p²⁵×q⁰)

Since you know that q = 1 - p,

5 = 25{[p²⁴(1 - p)]/p²⁵}

1/5 = (p²⁴ - p²⁵)/p²⁵

1/5 = p^(-1) - 1

6/5 = 1/p

p = 5/6 (shown)

it has to have an angle of 90 degrees

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: