We will investigate the time spent in the mall, measured in minutes, of the shoppers in the dataset (variable time); call this variable X. Assume the population values of time are Normally distributed with mean 88 and standard deviation 5.
(a) Find the probability a shopper, selected at random, spends less than 96 minutes at the mall. Show your work. Write your final answer to 4 decimal places.
(b) Label the axis in terms of time, including the values for the individual in part (a) and the population mean. Shade the area representing the probability in part (a) and indicate its value.
(c) Label the axis in terms of z, including the values for the individual in part (a) and the population mean. Shade the area representing the probability in part (a) and indicate its value.
(d) What is the probability a shopper, selected at random, spends more than 98.5 minutes at the mall? Show your work. Round your final answer to 4 decimal places.
(e) What time value is the cut-off value for the top 15% of times? Show your work. You must start off by writing down the correct probability statement. (Round your final answer to 2 decimal places.)

Can i get some on 18,20,& 22? or one of them

In a sample of 2023 u.s. adults, 373 said franklin roosevelt was the best president since world war ii. two u.s. adults are selected at random from the population of all u.s. adults without replacement. assuming the sample is representative of all u.s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.

Write the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7. t