91Ó°ÊÓ

For a normal random variable \(x\) with mean \(\mu\) and standard deviation \(\sigma\) specified in the exercises. \(\mu=10\) and \(\sigma=2\). Find the probability that \(x\) is between 9.4 and 10.6 .

For a normal random variable \(x\) with mean \(\mu\) and standard deviation \(\sigma\) specified in the exercises. \(\mu=1.2\) and \(\sigma=.15 .\) Find \(P(1.00

For a normal random variable \(x\) with mean \(\mu\) and standard deviation \(\sigma\) specified in the exercises. \(\mu=1.2\) and \(\sigma=.15 .\) Find \(P(x>1.38)\)

For a normal random variable \(x\) with mean \(\mu\) and standard deviation \(\sigma\) specified in the exercises. \(\mu=1.2\) and \(\sigma=.15 .\) Find \(P(1.35

For a normal random variable \(x\) with mean \(\mu\) and standard deviation \(\sigma\) specified in the exercises. \(\mu=35\) and \(\sigma=10\). Find a value of \(x\) that has area .01 to its right.

For a normal random variable \(x\) with mean \(\mu\) and standard deviation \(\sigma\) specified in the exercises. \(\mu=50\) and \(\sigma=15\). Would it be unusual to observe the value \(x=0\) ? Explain.

Answer the questions in Exercises \(44-45\) for a normal random variable \(x\) with mean \(\mu\) and standard deviation \(\sigma\) specified in the exercises. Unknown mean \(\mu\) and standard deviation \(\sigma\). If \(P(x>4)=.9772\) and \(P(x>5)=.9332,\) find \(\mu\) and \(\sigma\)

OBaby! The weights of 3-month-old babies are normally distributed - baby boys with a mean of 6.4 kilograms and a standard deviation of 0.7 , and baby girls with a mean of 5.9 kilograms and a standard deviation of \(0.7 .{ }^{1}\) Use this information to answer the questions in Exercises \(46-48 .\) What proportion of 3-month-old baby girls will weigh between 5.5 and 5.9 kilograms?

OBaby! The weights of 3-month-old babies are normally distributed - baby boys with a mean of 6.4 kilograms and a standard deviation of 0.7 , and baby girls with a mean of 5.9 kilograms and a standard deviation of \(0.7 .{ }^{1}\) Use this information to answer the questions. What is the probability that a 3 -month-old baby boy will weigh more than 7.3 kilograms?

OBaby! The weights of 3-month-old babies are normally distributed - baby boys with a mean of 6.4 kilograms and a standard deviation of 0.7 , and baby girls with a mean of 5.9 kilograms and a standard deviation of \(0.7 .{ }^{1}\) Use this information to answer the questions. Would it be unusual to find a 3 -month-old baby boy who weighed less than 4.5 kilograms? Explain.