Consider a binomial experiment with n = 20 and p = 0.70. a. Compute f(12) (to 4 decimals). b. Compute f(16) (to 4 decimals). c. Compute P(x > 16) (to 4 decimals).
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- #1. Thanks.According to a study, 58% of all males between the ages of 18 and 24 live at home. (Unmarried college students living in a dorm are counted as living at home.) Suppose that a survey is administered and 152 of 226 respondents indicated that they live at home. (1a) P(X≥152)=__________ (Round to four decimal places as needed.) (1b) Do the results from part (a) contradict the study? yes or noIf (1 + i)(1-1) = 2. a07879297 + 1. b17865173i. What is a + b? %D
- lecture(12.11A): Researchers were interested in the effects of co-sleeping on nightime waking and crying in infants. .They assesed the number of minutes parents reported that their infants were awake and crying for a period of three days. Five of the infants co-slept with thier mothers(Co) and four infants slept in crib(Cr).The researchers wanted to see if there was a difference in the total number of minutes of crying during the 3 nights. for the two groups. A summary of the data is given below Co-sleepers night time crying in minutes: 8, 4, 7, 7, 6 Crib-sleepers night time crying in minutes: 30, 17, 22, 25 Test the hypotheses at (aplha=.05) level of signifcance. using the 5 step hypotheses testing procedure. Clealy state the null and alternative hypotheses. Round your answer to 2 decimal places.SpgA financial analyst of Woolworths is interested in the average number of months that it takes customers to pay off their account debt. He claims that the average number of months it takes is less than four. He takes a sample of fifty customers and records the number of months it takes each customer to pay off his debt. Suppose that the test statistic value to test this claim is calculated as -0.34, determine the p-value.
- Find P(x <= 1 | n = 15, p = 0.25) by using the binomial formula.For the M/M/N/o system, the probability that an arrival will find all servers busy and will be forced to wait in queue is an important measure of performance of the M/M/N/∞ system. This probability is given by PQ N!(1 – p/N) | and is known as the Erlang C formula. Please derive the equation. What is the expected number of customers waiting in the queue (not in service)?The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 8th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false. The first quartile is less than 16 hours.
- For Numbers 4 and 5: Dr. Kae Dee, a resident cardiologist who intends to specialize in vascular medicine, wants to verify a claim from a study which states that chronic venous insufficiency affects about 1 in 20 adults. She obtained records from 40 randomly selected hospitals from municipalities with relatively similar population sizes and obtained the number of reported chronic venous insufficiency cases. Let X be the number of reported chronic venous insufficiency cases. 4. Which of the following is(are) TRUE? 1. X is a discrete random variable with possible values x = {0, 1, 2, 3, ..., 40) II. The sum of probabilities of all values of X is 1. A. I only 5. Presented below is the probability distribution table from Dr. Kae Dee's study. X=x P[X=x] A. 1.00 B. II only 19 0.22 20 0.38 B. 4.10 C. Both I and II 21 0.11 The expected number reported chronic venous insufficiency cases is 22 C. 20.57 D. Neither I nor II 23 0.10 on the average. D. 105Event A is my wife cooking dinner tonight. It has been determined that P(A) = 0.15. What is P(not A)?