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1. Laboratory experiment shows that the life of the average butterfly is normally distributed with a mean of 18.8 days and a standard deviation of 2 days. Find the probability that a butterfly will live between 17.04 and 19.32 days.
2. Use the appropriate normal distribution to approximate the resulting binomial distributions. A fair coin is tossed 130 times. What is the probability of obtaining between 61 and 77 tails, inclusive?
3. Endure All, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. What is the probability that an Endure All battery selected at random will last more than 550 hours?
4. Use the appropriate normal distribution to approximate the resulting binomial distributions. A convenience store owner claims that 55% of the people buying from her store, on a certain day of the week, buy coffee during their visit. A random sample of 35 customers is made. If the store owner's claim is correct, what is the probability that fewer than 21 customers in the sample buy coffee during their visit on that certain day of the week?
If the population is normally distributed then the sample mean is also normally distributed even for small sample size.
A standard deviation of 218 KWh. For a randomly selected home, find the probability that the February energy consumption level is greater than 1,000 KWh.
Attended a religious service at least once a month, 20 stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are equal.
The probability that a flower seed will germinate is 0.7. Find the mean and standard deviation for the random variable x, the number of seed that will germinate in each set.
question 1nbspinbsp describe and distinguish between discrete and continuous variable.iinbsp a kfc shop in port-louis
A Starbucks manager decides to study waiting times of customers for service at the lunch time rush hour 1100-1200. He observes three customers to measure the time the customer enters the line to the time he or she reaches the counter.
What is the theoretical probability that Mr. Nerdly assigns 10 homework problems as a result of a randomly selected student playing the birthday game?
question letnbspomega be a space of results and b one happening such that probability of b gt 0 pb gt 0. prove that
A new product has the following profit projections, associated probabilities, and indifference probability:
testing equality of variances.over the last several years the use of cell phones has increased dramatically. according
A sample of 23 European countries found that the variance of life expectancy was 7.3 years. What is the 95% confidence interval estimate for the variance of life expectancy in Europe?
A cable manufacturer has historically averaged 2.6 flaws per 1000 meters length of wire production.
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