Question

please please please answer every one of the questions as I have no more questions remaining.

-/10 points MendSc8t14 6.E 039. My Notes Ask Your Let x be a binomial random variable with n = 100 and ρ = 0.2. Find approximations to these probabilities. (Round your answers to four decimal places.) (a) Px> 29) (d) PIx S 31) You may need to use the appropriate appendix table or technology to answer this question. Need Help? -/10 points MendScat14 6.E 079 A manufacturing plant uses light bulbs whose life spans are normally distributed, with mean and standard deviation equal to 500 and 60 hours, respectively. In order to minimize the number of bulbs that burn out during operating hours, all the bulbs are replaced after a given period of operation. How often (in hr) Should the bulbs be replaced if we wish no more than 4% of the bulbs to burn out between replacement periods? (Round your answer to two decimal places.) My Notes Ask Your hr You may need to use the appropriate appendix table or technology to answer this question. Need Help? 5. 10 points My Notes Ask Your The time it takes Jessica to bicycle to school is normally distributed with mean 15 minutes and variance 4. Jessica has to be at school at 8:00 am. Suppose you saw her at class, and she said it took her 23 minutes to get to school that day. Which of the following is a reasonable inference or conclusion? a. Twenty-three minutes to school is not an unusually long commute time. b. A commuting time of 23 minutes is highly unusual or atypical. c. d) The distribution of commute times MAY NOT be normal with mean 15 minutes and standard deviation 2 minutes. d. Both (b) and (c) are feasible condlusions. e. Both (a) and (e) are feasible conclusions. -/10 points MendStat146.Е.045. My Notes Ask Your +

Answer 1

Here X is a binomial random variable

and given n=100, p=0.2, q=1-0.2=0.8

2一 tlena phebohilty so, eplion (6) ら08.rect.