Consider babies born in the "normal" range of 37–43 weeks gestational age. A paper suggests that a normal distribution with mean u = 3,500 grams and standard deviation o = 575 grams is a reasonable model for the probability distribution of the continuous numerical variable x = birth weight of a randomly selected full-term baby. n USE SALT (a) What is the probability that the birth weight of a randomly selected full-term baby exceeds 4,000 g? (Round your answer to four decimal places.) (b) What is the probability that the birth weight of a randomly selected full-term baby is between 3,000 and 4,000 g? (Round your answer to four decimal places.) (c) What is the probability that the birth weight of a randomly selected full-term baby is either less than 2,000 g or greater than 5,000 g? (Round your answer to four decimal places.)

The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u 278 days and standard deviation o 16 days. (a) What proportion of pregnancies lasts more than 290 days? (b) What proportion of pregnancies lasts between 274 and 286 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 258 days? (d) A "very preterm" baby is one whose gestation period is less than 254 days. Are very preterm babies unusual? (a) The proportion of pregnancies that last more than 290 days is (Round to four decimal places as needed.) (b) The proportion of pregnancies that last between 274 and 286 days is (Round to four decimal places as needed.) (c) The probability that a randomly selected pregnancy lasts no more than 258 days is (Round to four decimal places as needed.) (d) The probability of a "very preterm" baby is This event unusual because the probability is than 0.05 (Round to four decimal places as needed.) Enter your answer in each of…

The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 65 with a standard deviation of 10. Assume that the distribution is approximately normal. (a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg? answer: (b) What is the probability that an elite athlete has a maximum oxygen uptake of 60 ml/kg or lower? answer: (c) Consider someone with a maximum oxygen uptake of 31 ml/kg. Is it likely that this person is an elite athlete? Write "YES" or "NO." answer:

(b) A company has 16 cars of this model in its fleet. What is the probability that the average NOX + NMOG level x¯ of these cars is above 90 mg/mi?   - life for one car model vary Normally with mean 84 mg/mi and standard deviation 6 mg/mi

Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.63 and standard deviation 0.83. In USE SALT (a) If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.63 and 3.00? (Round your answers to four decimal places.) at most 3.00 between 2.63 and 3.00 (b) How large a sample size would be required to ensure that the first probability in part (a) is at least 0.99? (Round your answer up to the nearest whole number.) specimens

I. NORMAL PROBABILITY DISTRIBUTION Cars are passing through a checkpoint. Assume the speeds are normally distributed such that the mean (u) = 61 mph and the standard deviation (sigma) = 4 mph. а. b. Calculate the probability (area under the curve) that the next car to pass will be travelling more than 58 mph.

It is reported that American adolescents spend an average of μ =4 hours per day using smart phone (σ = 2 hours). Assuming the distribution is normal, a. What is the probability of selecting an individual who uses a smart phone more than 8 hours a day?  b. what proportion of American adolescents spend between 2.5 and 5.5 hours per day using smart phones?