A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 202 lb and a standard deviation of 45 lb. The gondola has a stated capacity...


A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 202 lb and a standard deviation of 45 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated<br>for a load limit of 3750 lb. Complete parts (a) through (d) below.<br>a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers?<br>The maximum mean weight is 150 ib.<br>(Type an integer or a decimal. Do not round.)<br>b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)?<br>The probability is<br>(Round to four decimal places as needed.)<br>Enter your answer in the answer box and then click Check Answer.<br>Check Answer<br>2 parts<br>remaining<br>Clear All<br>17<br>23<br>%23<br>%24<br>7<br>81<br>3<br>4<br>E<br>R<br>Y<br>tab<br>G<br>K.<br>caps lock<br>C<br>N M<br>

Extracted text: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 202 lb and a standard deviation of 45 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is 150 ib. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer 2 parts remaining Clear All 17 23 %23 %24 7 81 3 4 E R Y tab G K. caps lock C N M

Jun 11, 2022
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