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- 9) both images are the same questionQuestion 1 The attend average age of a Sample of 17 South African women yoga classes was found to be 31 years, with a Standard deviation of conficlence interval for the true average age of all 3,5 years. Construct a 991. South African women who attend yoga classes a) 28,52≤ №≤ 33.48 < b) 26.88Question 8 If X is normally distributed with a mean of 30 and a standard deviation of 2, find P(30 < X < 33.4). a) O 0.455 b) O 0.855 c) O 0.955 d) 0 0.555 e) O 0.755 f) O None of the above Review LaterQuestion 20 <. Los Angeles workers have an average commute of 32 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 14 minutes. Let X represent the commute time for a randomly selected LA worker. a. What is the distribution of X? X N( b. Find the probability that a randomly selected LA worker has a commute that is longer than 33 minutes. Round to 4 decimal places. c. Find the 85th percentile for the commute time of LA workers. Round to 2 decimal places. minutes Question Help: Written Example MMessage instructor Submit Question Jump to AnswerQuestion 9 Suppose that X is normally distributed with a mean of 40 and a standard deviation of 15. What is P(X> 52.45)? a) O 0.203 b) O 0.597 c) O 0.206 d) O 0.297 e) O 0.207 f). O None of the aboveQuestion 2: If X is normally distributed with mean 32 and standard deviation 4. Find the probability that xis at least 36?A grouped frequency distribution has been obtained for the number of personnel working in 100 workplaces. Accordingly, the average number of personnel per enterprise is calculated as x̄ = 48.98. So what is the value of ∑ ni?Question 7 options: Reference the standard normal table to determine the area under the standard normal curve corresponding to each probability statement. Enter your answers as a number with 4 decimals A) P(Z > 1.21) B) P(-1.43 < Z < 2.25)In arecent year, lth grade New york public Scnol Studeo ts takıng cn English test produced test scores trat were normally dis triouted witn a mean Of 8! Cnd a Standard deviation Of 6o let x be a rcndam variable trat ceprescnts a tCst Score. hnat Is tne lowest score trat would Stil place a Student lo the top 40% of the scores ?