# Question: When coin 1 is flipped it lands on heads with

When coin 1 is flipped, it lands on heads with probability .4; when coin 2 is flipped, it lands on heads with probability .7. One of these coins is randomly chosen and flipped 10 times.

(a) What is the probability that the coin lands on heads on exactly 7 of the 10 flips?

(b) Given that the first of these ten flips lands heads, what is the conditional probability that exactly 7 of the 10 flips land on heads?

(a) What is the probability that the coin lands on heads on exactly 7 of the 10 flips?

(b) Given that the first of these ten flips lands heads, what is the conditional probability that exactly 7 of the 10 flips land on heads?

**View Solution:**## Answer to relevant Questions

Suppose that a biased coin that lands on heads with probability p is flipped 10 times. Given that a total of 6 heads results, find the conditional probability that the first 3 outcomes are (a) h, t, t (meaning that the first ...Suppose that the number of accidents occurring on a highway each day is a Poisson random variable with parameter λ = 3. (a) Find the probability that 3 or more accidents occur today. (b) Repeat part (a) under the assumption ...Each of 500 soldiers in an army company independently has a certain disease with probability 1/103. This disease will show up in a blood test, and to facilitate matters, blood samples from all 500 soldiers are pooled and ...There are three highways in the county. The number of daily accidents that occur on these highways are Poisson random variables with respective parameters .3, .5, and .7. Find the expected number of accidents that will ...Let X be a Poisson random variable with parameter λ. (a) Show that P{X is even} = 1/2[1 + e−2λ] by using the result of Theoretical Exercise 15 and the relationship between Poisson and binomial random variables. (b) ...Post your question