Recall that the probability of obtaining k Heads in n independent coin tosses is (nk)pk(1−p)n−k , where p is the probability of Heads for any given coin toss. Find the value of ∑k=0n(nk)pk(1−p)n−k . (Your answer should be a number.)

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

The number of potato chips in a bag is normally distributed with a mean of 71 and a standard deviation of 2. approximately what percent of bags contain between 69 and 73 potato chips? approximately 68% approximately 71% approximately 95% approximately 99.7%

Which of the symbols correctly relates the two numbers below check all that apply 6? 6