A company launches 15 products, and each of them hasa 40% chance of being profitabile in S years. If each product launch is successful independent of the other launches, what is the probebility thet esactly 7 of the products launch successtullyint independent trials with fived p'of success is a Binomial Distribution A 1253% 17.71 65.23% 21.92
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- A hypothesis test was performed to decide whether the mean number of words spoken per day by men is fewer than for women. αα = 0.05 and p = 0.02. If a man and a woman are randomly selected there is a 2% chance that the man will speak fewer words than the woman on that day.The arrival of flights at DIA has been monitored for the last year. From the research, 32% of all arrivals are on time. Suppose a random sample of 10 flight arrivals is examined. Using the binomial functions, give the probability: (a) Of exactly 4 on time arrivals. (b) Of at most 6 on time arrivals? (c) Give the expected(mean) number on time arrivals.The total compilation time of a computer program has Gamma distribution with average u=10 minutes and variance o = 50 minutes. Find the probability that such a program can be compiled in less than 5 %3D minutes.
- For each of the scenarios below, select: A : variable is binomial (approximately) B : variable is Poisson (approximately) C : variable is neither If you select C, explain why you rejected both binomial and Poisson models? (a) The number of errored bits in a packet of 1024 bits. (b) Time between packets arriving at a router. (c) Student has reaction time to 100 stimuli tested. Count as ”success” = reacting within 0.1 second. Count the number of successes.The leader of two postpartum women’s support groups is interested in the depression levels of the women in her groups. She administers the Center for Epidemiologic Studies Depression Scale (CES-D) screening test to the members of her groups. The CES-D is a 20-question self-test that measures depressive feelings and behaviors during the previous week. The mean depression level from the screening test for the 10 women in the first group is μ₁ = 16; the mean depression level for the 14 women in the second group is μ₂ = 10. Without calculating the weighted mean for the combined group, you know that the weighted mean is:A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. COMPUTE P ANSWER IS NOT 2.5 OR 0.50
- A random variable Xis binomially distributed with mean 4 and standard deviation 2.4. Find the probability that more than half the trials are successes.A company produces 1,000 blue crayons every day. A sample of 50 crayons are analyzed, and 3 of them are found to not meet the standards of the company, so they are labeled defective. A simulation is run in which 50 crayons are chosen out of 1,000 so that each crayon chosen has a 6% chance of being defective. The simulation is run 500 times, and the mean proportion of defective crayons is 0.059 with a standard deviation of 0.012. What is a good margin of error based on this simulation? Based on a population proportion estimate and margin of error, is 0.07 a plausible value for the population proportion of crayons that are defective? Explain your reasoning.A researcher goes to a local park to see how many people are wearing face masks. She counts 37 women in the park, of whom 24 are wearing face masks, while 14 out of 30 men are wearing face masks. Can she say that there is a significant difference of the percent of each gender who wears masks? (Use α = .10) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence:
- The Substance Abuse and Mental Health Services Administration (SAMHSA, 2017) estimates that 10.9% of the population of the United States age 18–24 had an episode of depression in the previous 12 months. Suppose a researcher takes a random sample of 225 United States adults aged 18–24. Determine the value of the sample proportion, p, such that 5% of samples of 225 United States adults age 18–24 are greater than p. You may find software or a z-table useful. Give your answer precise to three decimal places. p = IIThe jobless rate for Italy in January 2015 was 13.4%. In a random sample of 50 employable adults in one city, 8 were unemployed. Check with the Assumptions/Conditions apply. The samples are randomly selected. The trials are independent. There are at least 10 chances to success and 10 chances to fail. The sample size represents less that 10% of the population.An elephant eats an average of 3 bushels of alfalfa per day, with a standarddeviation of 0.8 bushels. Suppose that you need to feed 10 elephants for oneweek. If the distribution is normal, what is the minimum number of bushels ofalfalfa so that there is no more than a 10% chance of running out by the end of the week?