What is the probability that a sample will have a z-score of more than 2.90? Z 0.0 2.50.99380.99400.99410.9943 2.60.99530.99550.99560.9957 2.70.99650.99660.99670.9968 2.80.99740.99750.99760.9977 2.90.99810.99820.99820.9983 0.01 0.02 0.03 O 99.81% O 0.19% O 19.00% O 0.9981%
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- The height of women ages 20-29 is normally distributed, with a mean of 63.9 inches. Assume σ=2.9 inches. Are you more likely to randomly select 1 woman with a height less than 65.1 inches or are you more likely to select a sample of 27 women with a mean height less than 65.1 inches? Explain. What is the probability of randomly selecting 1 woman with a height less than 65.1 inches? _____ (Round to four decimal places as needed.)Sixty-two percent of seniors attend a particular school in a school district. Assume 500 seniors within this school district are sampled. a. Can this distribution be approximated using the Normal model? Explain. b. Use the Normal approximation to estimate the probability that at least 290 senior students are enrolled at this particular school. c. Use the Normal model to estimate the probability that between 200 and 300 senior students who are sampled are enrolled at this particular school.The top-selling Red and Voss tire is rated 80000 miles, which means nothing. In fact, the distance the tires can run until wear- out is a normally distributed random variable with a mean of 92000 miles and a standard deviation of 8000 miles. A. What is the probability that the tire wears out before 80000 miles? Probability = Round to four decimals CS Scanned with CamScanner
- Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.12 ounces and a standard deviation of 0.04 ounce. Find the probability that the bottle contains between 12.02 and 12.08 ounces. Group of answer choices 0.1649 0.1525 0.8475 0.83519- A track coach found out that distance runners from go aver their recommended mile run training limit by an average 7.6 miles with a standard deviation of 2.8 miles. You conduct a survey of 25 runners. You want to know the probability that the average runner ran more than 8.2 miles or P(Xbar > 8.2) A- Write out the distribution of the mean: B- Calculate the Z-score for the probability that runners ran more than 9 miles using the information above. C- Look up the Z-score for problem "7 b" in the standard normal table, what value do you get? D- Graph the picture of this problem with the X and Z values, solve P(Xbar > 8.2) and interpret the results. E- Find the 25th percentile for this problem.Assume that the average score on a statistical test is 8.5 and the variance is 2. The test was on the lighter side and the score distribution was very skewed (left skewed). What probability distribution is it reasonable to assume that the average grade of 3 randomly selected students who take the exam follows? 1. Normal distribution with mean 8.5 and variance 2. 2. Normal distribution with an average of 8.5 and a variance of 2/3. 3. Poisson distribution with an average of 8.5 and a distribution of 8. 4. The probability distribution cannot be predicted from the information provided.
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