solve these please

Question 4. A manufacturer of aluminum sheets, finds that on the average, 12.5% of his sheets are rejected because they are either oversize or undersize. What is the probability that a batch of 10 sheets will contains? a. 3 to 4 rejected sheets. b. At least 2 rejected sheet. Question 5. Number of mobile users in a particular country, 40% prefer Android and 60% prefer iOS, of those mobile users who prefer Android, 30% are males and of those who prefer iOS, 40% are male. What is the probability that a randomly selected mobile user prefers Android, given that the user selected is a male?Question 6. a. Explain the term of regression. Write few words about the simple regression and multiple regression. Explain the importance of multiple linear regression in business using an appropriate example. b. Researchers interested in determining if there is a relationship between death anxiety and religiosity conducted the following study. Subjects completed a death anxiety scale (high score = high anxiety) and completed a checklist designed to measure an individual's degree of religiosity (belief in a particular religion, regular attendance at religious services, number of times per week they regularly pray, etc.) (High score = greater religiosity. A data sample is provided below: Death Anex 38 42 29 31 28 15 24 17 11 19 3 14 93 90 62 Religiosity 14 9 10 15 19 17 10 14 4 3 2 . Explain the dependent and independent variable. ii. Plot the scattered diagram. iii. What is your computed answer of correlation coefficient r? iv. Make an equation of regression line. v. Interpret the results of slope and intercept. vi. Calculate the R statistics. vii. Perform the residual analysis with plotting and comment on scattered plot of residuals. vili. Make a prediction by considering any value you want between the above intervals. Question 7. The average sales in a book shop over the past years has been Rs 1500 per day with a standard deviation of Rs 240. If a sample of 25 days are selected at a random what is the probability that the average sale for the sample will be: a. Between Rs 1380 and Rs 1610 b. More than Rs. 1410 Question 8. The probability that a patient correctly diagnosed by a doctor with a rare stomach disease is 0.4. If 15 people are known to have contracted this disease, what is the probability that: a. Exactly 5 diagnosed correctly? b. From 5 to 7 diagnosed correctly