Let the random variable X follow a standard normal distribution. If P(X < 70.75) = 0.75, what is 70.75 (a) 0.675 (b) 0.750 (c) 0.525 (d) 0.921 (e) None of the above

The random variable X = weight of a randomly selected bag of chips can be modeled by a normal distribution with  µ=11.75 ounces and  σ=0.09 ounces Using the 68-95-99.7 rule, which of the following is correct?I. The probability that a randomly selected bag of chips weighs between 11.66 ounces and 11.93 ounces is about 0.815.II.  P(X < 11.93)=0.997III. P(X≥ 11.84) =0.84

Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean ? = 72 and estimated standard deviation ? = 50. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed.   (a) What is the probability that, on a single test, x < 40? (Round your answer to four decimal places.) (b) Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x? Hint: See Theorem 6.1. -The probability distribution of x is approximately normal with ?x = 72 and ?x = 25.00. -The probability distribution of x is not normal.     -The probability distribution of x is approximately normal with ?x = 72 and ?x = 35.36. -The probability distribution of x is approximately normal with ?x = 72 and ?x = 50. What is the probability…