The World Bank records the prevalence of HIV in countries around the world. According to their data, "Prevalence of HIV refers to the percentage of people ages 15to 49 who are infected with HIV." In one country, the prevalence of HIV is 16.3%. Let X= the number of people you test until you find a person infected with HIVPart (a)Sketch a graph of the distribution of the discrete random variable XP(X=X)0.250.200.100.050.00P(X=X)0.150.100.050.00HPart (c)0 1 2 3 4 5 6 7 8 9 10 11 12 13 14Part (d)P(X=X)0.250.20(i) standard deviation0.100.050.00OP(X=X)0.15)0.100.05What is the probability that you must test 30 people to find one with HIV? (Round your answer to four decimal places.)0.00456789 10 11 12 13What is the probability that you must ask sixteen people? (Round your answer to four decimal places.)Find the mean and standard deviation of the distribution of X. (Round your answers to four decimal places.)(1) meanJ and K are independent events. P(J | K) = 0.5. Find P(J).P(J)

Answered: Image /qna-images/answer/985644e0-f940-486f-96a0-bf6c7ebcf3f3.jpg

Answered: The World Bank records the prevalence…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Weight of goods shipped in containers of a certain size is a normally distributed random variable. It is known that 78% of the containers have a net weight above 4.3 tons, and 83% of the containers have net weight below 5.9 tons. Find the mean and standard deviation of the net weight of the containers.
Does playing Mozart for unborn babies result in having children with higher IQs? A psychologist obtains a random sample of 30 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 45 minutes each day until they give birth. We know that IQs are normally distributed with a mean of 100. A few years after their births the children were given an IQ test and the IQs of the 30 children in the study resulted in a sample mean of 104.2. Assume the population standard deviation for IQ of children is 15. Is there evidence that the children who listen to Mozart for at least 45 minutes each day during pregnancy have higher IQs at the 0.05 level of significance? Use the p-value approach. a. Define the parameter we are testing and setup a hypothesis test to see if the mean IQ of children who listened to Mozart at least 45 minutes a day during pregnancy is higher than the national mean of 100: b. Calculate the test statistics for this…
Histograms of random sample data are often used as an indication of the shape of the underlying population distribution. The histograms on the next page are based on random samples of size 30,50 and 100 from the same population. a. Using the midpoint labels of the three histograms, what would you say about the estimated range of population data from smallest to largest? Does the bulk of the data seem to be between 8 and 12 all in three histograms? b. The population distribution from which the samples were drawn is symmetric and mound shaped, with the top of the mound at 10,95% of the data between 8 and 12, and 99.7% of data between 7 and 13. How well does each histogram reflect these characteristics?
A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.5; 2.8; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4. 1.Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.) 2. Construct a 95% confidence interval for the population mean length of time. (i) State the confidence interval. (Round your answers to two decimal places.) ( , ) (iii) Calculate the error bound. (Round your answer to two decimal places.)
A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.5; 2.9; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4.
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Does playing Mozart for unborn babies result in having children with higher IQs? A psychologist obtains a random sample of 30 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 45 minutes each day until they give birth. We know that IQs are normally distributed with a mean of 100. A few years after their births the children were given an IQ test and the IQs of the 30 children in the study resulted in a sample mean of 104.2. Assume the population standard deviation for IQ of children is 15. Is there evidence that the children who listen to Mozart for at least 45 minutes each day during pregnancy have higher IQs at the 0.05 level of significance? Use the p-value approach. Select the correct conclusion for this test: We fail to reject the null hypothesis because the p-value is less than the level of significance. We fail to reject the null hypothesis because the p-value is greater than the level of significance. We…
Please answer the question in the photo. Thank you!
The time spent (in days) waiting for a heart transplant in two states for patients with type A+ blood can be approximated by a normal distribution, as shown in the graph to the right. Complete parts (a) and (b) below. u= 134 0=18.1 What is the shortest time spent waiting for a heart that would still place a patient in the top 30% of waiting times?
estions 1. Residents of rural Wisconsin drink an average of 4L of soda per week, with a standard deviation of 1L. What is the probability that a randomly-selected resident of rural Wisconsin drinks 5.5 to 6.8L of soda per week?
Do college students enjoy playing sports more than watching sports? A researcher randomly selected ten college students and asked them to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest and 10 meaning they absolutely love it. The results of the study are shown below. Play Watch Playing Vs. Watching Sports 1 3 5 10 10 4 1 8 5 1 2 2 7 10 4 12 5 4 Assume a Normal distribution. What can be concluded at the the a = 0.10 level of significance level of significance? For this study, we should use Select an answer Ho: Select an answer H₁: Select an answer a. The null and alternative hypotheses would be: Select an answer Select an answer Select an answer Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) b. The test statistic ? C c. The p-value = d. The p-value is ? a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... (Please…
Which equation is used to convert a sampling distribution into Student's t-distribution? A B C E F x -4 (n-1)s F = t = t s/Vn Z = %3D s/Vn OB D OE

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