Question 8 Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 40 minutes and standard deviation 17 minutes. A researcher observed 49 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( 40 b. What is the distribution of I? I - N( 40 2.4286 c. What is the distribution of z? a- N( 1960 119 d. If one randomly selected student is timed, find the probability that this student's time will be between 37 and 39 minutes. e. For the 49 students, find the Enter an integer or decimal number, accurate to at least 4 decimal places (more.] 39 minutes. f. Find the probability that the randomly selected 49 students will have a total study time less than 1813 minutes. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The top 20% of the total stúdy time for groups of 49 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? minútes Submit Question

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