Exercises 4.844.1 1 6 Learning the Mechanics \\\\' 4 84 Find the area under the stand ' bution between the following a. z = Oandz = 2.00 c. z = Oandz = 1.5 485 Find the following probabiliti ' random variable z.\" ard normal Prob . . . abrht d' '_ palrs of ZScores; Y Istri es for the standard normal a_ g > 1.46) b. P(z 20) = .10 4.89 Find a value of the standard nor it 20, such that a. P(z S zo) = .2090 b. P(z s 2,0) = .7090 c. P(z0 S 2 x0) .025 c. P(x > x0) ~ .95 d. P(41 S x 500) b. P(490 s x 550) 1% Applet Exercise 4.6 Open the applet Sample from a Population. On the pull-down menu to the right of the top graph, select Bell shaped. The box to the left of the top graph displays the population mean, median, and standard deviation. 2:. Run the applet for each available value of n on the pull- down menu for the sample size. Go from the smallest to the largest value of n. For each value of n, observe the shape of the graph of the sample data and record the mean, median, and standard deviation of the sample. b. Describe what happens to the shape of the graph and the mean, median, and standard deviation of the sample as the sample size increases. Applying the ConceptsBaSIc 4.97 Tomato as a taste modier. Miraculina protein naturally produced in a rare tropical fruitcan convert a sour taste into a sweet taste. Consequently, miraculin has the poten- tial to be an alternative lowcalorie sweetener. In Plant Science (May 2010), a group of Japanese environmen- tal scientists investigated the ability of a hybrid tomato plant to produce miraculin. For a particular, generation of the tomalo plant, the amount x of miraculm produced