In a study of bumblebee bats, one of the world's smallest mammals, the weights are normally distributed, with a mean of 2.1 grams and a standard deviation of 0.4 gram. a. Find the probability that a randomly selected bumblebee bat weighs between 1.75 gram and 2.3 gram. b. The heaviest 5% of the bumblebee bats are classified as overweight. What is the cut-off weight for a bumblebee bat to be considered overweight? c. 4 bumblebee bats are randomly selected, and their weights are measured. What is the probability that the sample mean weight is greater than 2.2 gram?

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In a study of bumblebee bats, one of the world's
smallest mammals, the weights are normally
distributed, with a mean of 2.1 grams and a
standard deviation of 0.4 gram.
a. Find the probability that a randomly
selected bumblebee bat weighs between
1.75 gram and 2.3 gram.
b. The heaviest 5% of the bumblebee bats are
classified as overweight. What is the cut-off
weight for a bumblebee bat to be
considered overweight?
c. 4 bumblebee bats are randomly selected,
and their weights are measured. What is
the probability that the sample mean
weight is greater than 2.2 gram?
Transcribed Image Text:In a study of bumblebee bats, one of the world's smallest mammals, the weights are normally distributed, with a mean of 2.1 grams and a standard deviation of 0.4 gram. a. Find the probability that a randomly selected bumblebee bat weighs between 1.75 gram and 2.3 gram. b. The heaviest 5% of the bumblebee bats are classified as overweight. What is the cut-off weight for a bumblebee bat to be considered overweight? c. 4 bumblebee bats are randomly selected, and their weights are measured. What is the probability that the sample mean weight is greater than 2.2 gram?
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