Players in sports are said to have \"hot streaks\" and \"cold Streaks" For example a better in baseball might be considered to be in a slump, or cold streak, if that player has made 10 outs in 10 consecutive at'bats, Suppose that a hitter successfully reaches base 37% oi the time he comes lathe plate Complete parts (a) through (d) below in] Find the probability that the hitter makes 10 outs in 10 consecutive al-bats, assuming at-bats are independent events Hint The hitter makes an out 63% of the time. P(hitter makes 10 consecutive outs) = D (Round to ve decimal places as needed ) (b) Are cold streaks unusual? The probability eta cold streak is m 0 05, so cold streaks unusual (c) Interpret the probability from part (a). in repeated sets of 10 consecutive at~bats. the hitter is expected to make an out in all 10 at-bals about U times out of 1000. (Type a whole number) (d) Discuss the assumption of independence in consecutive atbats. Each atbat is [3 independent because the player's mental attitude of success aecteci by the previous times atbat