A student goes to the library. Let events B= the student checks out a book and D= the student check out a DVD. Suppose that P(B)=0.54 P(D)=0.45 and P(D|B)=0.50   Round each answer to four decimal places. (a) Find P(B′) Enter the exact answer. P(B′)=     (b) Find P(D AND B) Enter the exact answer. P(D AND B)=      (c) Find P(B|D). Round your answer to three decimal places. P(B|D)=     (d) Find P(D AND B′) Enter the exact answer. P(D AND B′)=     (e) Find P(D∣B) Enter the exact answer. P(D∣B′)

T1.1 A blue die and a red die are rolled and the pair of dots is observed. List all pairs with sum of dots more than 7.

Given P(E or F)=0.87, P(E)=0.14, and P(E and F)=0.19, what is P(F)?

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Let X represent the difference between the number of heads and the number of tails when a coin is tossed 36 times. Then P(X = 6)

Let t = "The tree is tall," g = "The tree has green leaves," and r = "The tree has red leaves." %3D

If n=10 and p=0.7, find P(x=8)

Power. Determine the power of a test of H0: p = 0.10 when: (a)   p is actually 0.20, α = 0.05 (two-sided), and n = 25. (b)   p is actually 0.15, α = 0.01 (two-sided), and n = 100.

Consider a tack like the one pictured below. When dropped on a table, the tack can land either point down or point up. Suppose we assume that P(tack lands point down) = 0.40. Which of the following must be true? (A) If the tack is dropped 50 times and lands point down only 10 times, then it must land point down more than 40% of the time in the next 50 drops. (B) If the tack is dropped on a table 10 times, it will land point down 4 times. (C) If the tack is dropped on a table 1,000,000 times, it will land point down 400,000 times. (D) Over many tack drops, the proportion that land point down will be very close to 0.40. (E) The tack landed point down twice in a simple random sample of 5 people who dropped it on a table.

-7 Let A= -4 -3 Find 5A. 5A = 3.