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Probability Questions & Answers

Q:
A binomial probability experiment is conducted with the given parameters. Use StatCrunch \( n=9, p=0.2, x<4 \) \( \begin{array}{l}P(X<4)=\square \\ \text { (Round to four decimal places as needed.) }\end{array} \)
Q:
\( 1 \leqslant \) A binomial probability experiment is conducted with the given parameters. Compute the probability o \( n=9, p=0.7, x \leq 3 \) The probability of \( x \leq 3 \) successes is \( \square \). (Round to four decimal places as needed.)
Q:
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of \( \mu=1.4 \mathrm{~kg} \) and a standard deviation of \( \sigma=5.3 \mathrm{~kg} \). Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.)
Q:
\( 1 \leftarrow \quad \begin{array}{l}\text { A binomial probability experiment is conducted with the given parameters. Compu } \\ n=9, p=0.6, x \leq 3\end{array} \) The probability of \( x \leq 3 \) successes is \( \square \). (Round to four decimal places as needed
Q:
\( 1 \leftarrow \quad \begin{array}{l}\text { A binomial probability experiment is conducted with the given parameters. Compl } \\ n=9, p=0.6, x \leq 3\end{array} \) The probability of \( x \leq 3 \) successes is \( \square \). (Round to four decimal places as needeo
Q:
A binomial probability experiment is conducted with the given parameters. Compute the probab \( n=5, p=0.45, x=3 \) \( P(3)=\square \) (Do not round until the final answer. Then round to four decimal places as needed.)
Q:
A binomial probability experiment is conducted with the given parameters. Compute the probability of \( x \) successes in the \( n \) independent trial \( n=10, p=0.9, x=9 \) \( P(9)=\square \) (Do not round until the final answer. Then round to four decimal places as needed.)
Q:
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of \( \mu=1.4 \mathrm{~kg} \) and a standard deviation of \( \sigma=5.3 \mathrm{~kg} \). Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round tó four decimal places as needed.)
Q:
When a button is pressed, a computer program outputs a random even number greater than 2 and less than 12 . You press the button once.
Q:
A bag contains two real diamonds and a fake diamond. You randomly pick a diamond for your friend and then pick another for yourself.
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