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- Find the mean, and standard Random variable =X 1 | 2 deviation for the probability Probability =P(X) 0.25 0.5 0.25 distribution described in Tableatistics and Probability Suppose that 60% of college students own a smart phone manufactured by Apple. If a random sample of 200 college students is selected, use the normal distribution to approximate the probability that the number of students in the sample owning a smartphone made by Apple will be less than 105. Is it reasonable to use the normal approximation here? Answer Skip ExitThe Student's tdistribution has Multiple Choice a mean of zero and a standard deviation of one a mean of one and a standard deviation of one a mean of zero and a standard deviation that depends on the sample size a mean that depends on the sample size and a standard deviation of one Next 7 of 10Midterm 2 Define → Sample proportion Random Variable Statistic Margin 3. given that of error PCA) = 0.4 A Car find ock a compute Randomly selected. What is than P(A/B) Hint: PCEUF) = P(E) + PCF) - P(E/F) = PCENF) P(F) and B. p(B) = 0.3 Such that Car Starts the probability that it three normal mean = 3 SO 5-0.5 x is a and PCANB) مل 1. Suppose we devise a binomial chance experiment that sue want own Six times. probability of Sucess in the find that ше will Successes attempts to Start the distribution random P(ENE) = 0.5 93% of the time take less Selected P (oc < oc+) experiment is 1 get exactly three Variable from = 0-7258 Construct 95% Confidence. point estimate (Sample proportion) P= 0.4 n = 40 Be sure to check for normality of for the population is giver Samplin distributionREM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adultst. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n, = 8 children (9 years old) showed that they had an average REM sleep time of x, = 2.9 hours per night. From previous studies, it is known that o, = 0.6 hour. Another random sample of n, = 8 adults showed that they had an average REM sleep time of x2 = 2.10 hours per night. Previous studies show that o, = 0.7 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H1 = H2i HiitHy> H2 O Ho: H,2020-30 March 18 between 19 June 2020 Covidien caught the disease in Turkey distribution of the number of deceased N(u, o?) distribution. Randomly from specified dates The number of patients who died in the selected 16 days was observed as follows. According to this; a) The variance of the distribution 95% confidence for the mean of the distribution assuming o? = 1600 Find the confidence interval with coefficients? b) The variance of the distribution 95% for the mean of the distribution under the assumption that parameter o? is unknown Find the confidence interval with confidence coefficient? c) Find the 90% confidence intervalfor the variance of the distribution when the mean of the distribution is o = 50? d) The mean of the distribution assuming that the parameteris unknown Find the confidence interval with confidence coefficient? e) It will be established for the mean of the distribution when it is known that the standard deviation of the distribution is o = 40. The sample volume…calculated that the taxi drivers spent average 9.25 hours in a day assume that the distribution is normal for each taxi drivers a sample size is 16 taxi drivers the population variance was known to be 2.25 find out the probabiliy that the sample mean above 13 hoursThe probability distribution shown below describes a population of measurements X | 0 2 4__ P(x) | 1/3 1/3 1/3 Suppose that we took repeated random samples of n = 2 observations from the population described above. what is the sampling distribution of the sample mean?Carbon monoxide (CO) emissions for a certain kind of car vary with mean 2.036g/mi and standard deviation 0.6 g/mi. A company has 60 of these cars in its fleet. Let y represent the mean CO level for the company's fleet. a) What's the approximate model for the distribution of y? Explain. b) Estimate the probability that y is between 2.1 and 2.2 g/mi. c) There is only a 10% chance that the fleet's mean CO level is greater than what value?VmgA sample of 3 measurements are taken and recorded: a =8, y = 10 and z = 7 The sample mean is: x = = 8.33 Fill in the table below. aj (a; - x)2 Ex: 5.34 Ex: 5.34 Ex: 5.34 82 = (z-z)*+(y-a)* +(z-z) Ex: 5.34 (z-2)*+(y-z)* +(z-) = Ex: 5.34Module 5: Ihd Use the table of values and the expected frequencies to calculate the residual values and the chi square test statistic X XYZ A 34 44 22 B 19 53 32 Expected Frequencies A 25.98 47.549 26.471 B 27.02 49.451 27.529 Residual Values (Row i and column j) Chi Square Test Statistic (0.,, – E. ) E (0 – E) x =E E Round all values to 3 decimal places Y B The Chi Square Test Statistic x =SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON