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If X is a normal random variable with
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- The weight of a green forest frog has a normal distribution with mean 150.3 g and astandard deviation of 5g. Find the probability that a randomly selected frog weighs. Include formula and show working pleasei. Less than 153g ii. Between 150 g and 158 g4assume that X is normally distributed with a mean 150 and standard deviation of 40. find the probability that (A) x is less then 145 and (B) x is grater then 170
- assume that X is normally distributed with a mean 180 and standard deviation of 56. find the probability that (A) x is less then 115and (B) x is grater then 154assume that X is normally distributed with a mean 160 and standard deviation of 45. find the probability that (A) x is less then 159 and (B) x is grater then 160Assume that the random variable X is normally distributed with mean = 1000 and standard deviation = 188. Let n = 18. Find P( < 947.4).
- Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by 29 lb.(a) If 1 woman is randomly selected, find the probabity that her weight is between 113 lb and 172 lb(b) If 3 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb(c) If 73 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lbThe average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.The factory produces a certain type of sunblock. each barrel with the sunblock has some impurities in it. let the random variable X be the amount in grams of impurities in a given barrel. the mean of X is 6.50 grams with standard deviation 1.50g. a random sample of 50 barrels is collected and the average amount impurities per barrel is measured what is the approximate probability that this sample mean is less than 7.00g? use the z- table Round the answer to the nearest hundredth.
- average number of pounds of meat that a person consumes per year is 218pounds. Assume that the standard deviation is 26 pounds and the distribution is approximately normal. 1- Find the probability that a person selected at random consumes less than 224 pounds per year 2-1f a sample of 50 individuals is selected find the probability that the mean of the sample will be less than 224 pounds per yearAssume the random variable x is normally distributed with mean = 88 and standard deviation a = 4. Find the indicated probability. P(75 <x < 83)Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean number of dandelions per square meter was found to be 11.Find the probability of no dandelions in an area of 1 m².P(X=0)=P(X=0)=Find the probability of at least one dandelion in an area of 1 m².P(at least one) =Find the probability of at most two dandelions in an area of 1 m².P(X≤2)=