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*Question*: .’ll Sprint? 10:43 AM a cobra.parkland.edu 6. The mean salary of all new mathematics professors i…

Show transcribed image text .’ll Sprint? 10:43 AM a cobra.parkland.edu 6. The mean salary of all new mathematics professors is $46000 with a standard deviation of $6000. A sample of S0 new mathematics professors is taken. The mean of this sample belongs to a sampling distribution Find the probability that the mean of this sample is between $45000 and $47000 . Six-week-old bables consume a mean of 15 ounces of milk per day, with a standard deviation of 2 ounces. Assume that the distribution is normal. a) What is the probability that a randomly selected six-week-old baby consumes less than 16 ounces of milk per day? b) What is the probability that a random sample of 20 six-week-old babiles consumes a mean between 13 and 14 ounces per day? 8. A deck of cards is shuffled until the cards are randomized. Two cards are dealt to a player. The probability that the player is dealt a pair (that in, that the two cards have the same rank or value) is 1/17, Suppose a player is dealt 50 hands in this manner a) Find the probability that the player is never dealt a pair b) Find the probability that the player is dealt more than 10 pairs 9. The grades on an exit examination at a technical school are normally distributed with a mean of 525 and a standard deviation of 80 a) Any student who scores below 350 is retested. What is the probability that a randomly selected test score is below 350 b) A student who scores in the top 12% receives a special commendation at the graduation ceremony. What is the minimum score needed to receive this recognition? Round your answer to the next largest whole number

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*Question*: .’ll Sprint? 10:43 AM a cobra.parkland.edu 6. The mean salary of all new mathematics professors i…

Show transcribed image text .’ll Sprint? 10:43 AM a cobra.parkland.edu 6. The mean salary of all new mathematics professors is $46000 with a standard deviation of $6000. A sample of S0 new mathematics professors is taken. The mean of this sample belongs to a sampling distribution Find the probability that the mean of this sample is between $45000 and $47000 . Six-week-old bables consume a mean of 15 ounces of milk per day, with a standard deviation of 2 ounces. Assume that the distribution is normal. a) What is the probability that a randomly selected six-week-old baby consumes less than 16 ounces of milk per day? b) What is the probability that a random sample of 20 six-week-old babiles consumes a mean between 13 and 14 ounces per day? 8. A deck of cards is shuffled until the cards are randomized. Two cards are dealt to a player. The probability that the player is dealt a pair (that in, that the two cards have the same rank or value) is 1/17, Suppose a player is dealt 50 hands in this manner a) Find the probability that the player is never dealt a pair b) Find the probability that the player is dealt more than 10 pairs 9. The grades on an exit examination at a technical school are normally distributed with a mean of 525 and a standard deviation of 80 a) Any student who scores below 350 is retested. What is the probability that a randomly selected test score is below 350 b) A student who scores in the top 12% receives a special commendation at the graduation ceremony. What is the minimum score needed to receive this recognition? Round your answer to the next largest whole number

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