Talluba juice factory produce orange juice in plastic bottles. The  volume of the bottle is normally disturbed with a mean of 1.804 L and standard deviation of 0.025 L .
Calculate the probability  that a randomly   chosen bottle of  juice wil have a volume less than 1.785.

Give your answer in 4 Decimal places

During the summer months, the prices of nonsmoking rooms with a king-size bed in hotels in a certain area are roughly Normally distributed with a mean of $131.80 and a standard deviation of $29.12. 5. A travel agent randomly selects prices of nonsmoking rooms with a king-size bed from 15 hotels in the area. What is the probability that their average cost will be more than $150? A) 0.0077 B) 0.1125 C) 0.2660 D) 0.3678

Let us assume that from a population with mean μ=100 and standard deviation σ=15 a sample random variable of n=900 is selected.

What is the probability P(X ̅<101.1)?

What is the probability P(X ̅>101.5)?

What is the probability P(99.3<X ̅<100.5)?

• Find 80%, 85% and 99.9% confidence interval for the sample mean of a population, if we know that in a random sample of 70 people from the population, the sample mean is 60 and the standard deviation is 5.

Problem 2 (7 points) Bags of chips are marked with a weight of 40 ounces. The weight of the bags actually varies according to a normal distribution with mean = 40 ounces and standard deviation=1.8 ounces. If a bag is selected at random, what is the probability that it actually weighs more than 42 ounces?