These are the problems I missed on my Midterm. If anyone wants to let me know th

Question

These are the problems I missed on my Midterm. If anyone wants to let me know the correct answers so I can figure it out by the final I'd very much appreciate it!

13.) coin is tossed six times. What is the probability that heads appears on every toss, given that heads appears on the first five tosses? 15.) The probability that a fisherman catches a tuna in any one excursion is o.17. What is the probability that he catches a tuna on each of five excursions? On at least one of five excursions? The Probability that he catches a tuna on each of fix excursions is 17.) An automobile insurance company Age group Proportion of total Accident rate has determined the accident rate insured (probability of having at least one TUnder 21 0.05 0.08 accident during a year) for various 21 30 0.10 0.06 age groups (see Table). Suppose that a policyholder calls in to report 41-50 0.20 0.025 an accident. What is the probability that he or she is over 60? Over 60 0.10 0.06 The probability is (Simplify your answer Round to three decimal places as needed.) 20.) Suppose that we have a white urn containing four white balls and one red ball and we have a red urn containing one white and two red balls. An experiment consists of selecting at random a ball from the white um and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red 21.) Color blindness is a sex-linked, inherited condition that is much more common among men than women. Suppose that 4% of all men and 0.2% of all women are color-blind. A person is chosen at random and found to be color-blind. What is the probability that the person is male? (You may assume that 50% of the population are men and 50% are women.) The conditional probability that a person is male 22.) An um contains eight green balls and five white balls. A sample of four balls is selected at random from the (a) Find the probability that the four balls have the same color (b) Find the probability that the sample contains more green balls than white balls (a) The probability that the four balls have the same color is (b)The probability that the sample contains more green balls than white balls is 23.) A Senate committee consists of four Democrats and six Republicans. If two people from the committee are selected at random, what is the probability that both are Democrats, given that at least one of them is a Democrat?

Explanation / Answer

13)

last loss is either head or tail

Hence, required probability = (1/2) *(1/2 + 1/2)

= 1/2

15)

Probability of that fisherman catches tuna, p = 0.17

Required probability = (0.17)^5

= 0.000142

23)

4 democrat and 6 republican

A = P(2 democrat) = 4C2/10C2 = 0.133

B = (at least 1 democrat) = 4C2 / 10C2 + 4C1 *6C1 / 10C2 = 0.666

Required probability = A / B

= 0.1997

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