The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with μ=71 and σ= 7.4 grams per mililiter. a) What is the probability that the amount of collagen is greater than 68 grams per mililiter? b) What is the probability that the amount of collagen is less than 79 grams per mililiter? c) What percentage of compounds formed from the extract of this plant fall within 3σ of μ?

9) Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 85 tons of coal in each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 85 tons and standard deviation o = 1.2 ton. a) What is the probability that a car chosen at random will have less than 83.5 tons of coal? ode Jedanocon vebol Au oloe ( g laenuoo of el dot 92orw 191ow lsiooe s al oA.21sbnatto emod ton asob nooeg s ansem 2200ue b) What is the probability that 20 cars chosen at random will have a mean load weight i of less dedotg sni bni ts noale lle to 08 ng A nevig need 2ed opilA abnatto isegsi than 83.5 tons of coal? quo1g eaollA ai aeelonsq to 1edmun babsgke arb ai terlW (d Snoiteivsb bisbnale e sW Sansbnotto 10) Suppose x has a normal distribution with o = 6. A random sample of sizen = 16 has sample mean 50. a) Is it appropriate to use a normal distribution to compute a confidence…

please answer the question in the attached picture with work shown, thanks! #1

In a large town, adults’ height (in cm) follows a normal distribution with a mean of 165 cm and a standard deviation of 10 cm. If we draw 16 adults from this town at random, what is the probability that their average height exceeds 170 cm? A ) 97.72% B ) 95% C ) 2.28% D ) 5% E ) 1.96%