Round off z-values to two decimal places. Express probabilities in 4 decimal places as found in the provided z-table (Table 1 The Standard Normal.) Include a leading zero before the decimal point, e.g. "0.9999" and not ".9999". The average waiting time to be seated for dinner at a popular restaurant is 23.2 minutes, with a standard deviation of 3.1 minutes. Assume the variable is normally distributed. When a customer arrives at the restaurant for dinner, answer the following questions: Find the probability that the customer will have to wait between 15.5 and 21 minutes: What is the Probability that the customer will have to wait between 15.5 and 21 min?

Assume that adults have IQ scores that are normally distributed with a mean of mμ=100 and a standard deviation σ= 15. Find the probability that a randomly selected adult has an IQ less than 127. The probability that a randomly selected adult has an IQ less tha 127 is

Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.

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Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally distributed with a mean of 3.3 unitsmL. Suppose also that exactly 95% of healthy individuals have TSH levels below 6.2 unitsmL. Find the standard deviation of the distribution of TSH levels of healthy individuals. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.

Assume that adults have IQ scores that are normally distributed with a mean of µ = 100 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ between 80 and 120.

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 236 feet and a standard deviation of 44 feet. We randomly sample 49 fly balls. Part (a) If  X =average distance in feet for 49 fly balls, then give the distribution of  X.  Round your standard deviation to two decimal places. X  ____, ________,_______  ~   . Part (b) What is the probability that the 49 balls traveled an average of less than 226 feet? (Round your answer to four decimal places.)Sketch the graph. Scale the horizontal axis for  X.  Shade the region corresponding to the probability.         Part (c) Find the 70th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.) ft †

On average, indoor cats live to 14 years old with a standard deviation of 2.7 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.A.  The middle 50% of indoor cats' age of death lies between what two numbers?     Low:  years     High:  years

Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=15. Find the probability that a randomly selected adult has an IQ less than 123.

Assume that adults have 1Q scores that are normally distributed with a mean of 103.1 and a standard deviation of 24.4. Find the probability that a randomly selected adult has an IQ greater than 131.3. (Hint: Drawa graph.) The probability that a randomly selected adult from this group has an IQ greater than 131.3 is (Round to four decimal places as needed.)