There are many firms that belong to the same industry. It is known that there are in average 74 people in a firm with a standard deviation of 25. Find the probability P(X<73.4), if 16 firms are randomly selected.
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- Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has noeffect, so the probability of a girl is 0.5. Assume that the groups consist of 32 couples. Complete parts (a) through (c) below. Find the mean and the standard deviation for the numbers of girls in groups of 32 births.An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 119 cm and a standard deviation of 5.7 cm. A. Find the probability that one selected subcomponent is longer than 121 cm. Probability = B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 121 cm. Probability = C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 121 cm. Probability =A particular fruit's weights are normally distributed, with a mean of 378 grams and a standard deviation of 5 grams. If you pick one fruit at random, what is the probability that it will weigh between 361 grams and 375 grams
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