The masses of chicken eggs may be taken to be normally distributed with a mean of60 g and a standard deviation of 18 g. Eggs are classified as "small", "standard" and"large" according to their masses. Eggs with a mass of less than 48 g are classifiedas "small".6.Find the probability that a randomly chosen egg has a mass between 50 g and70 g.a)b)Find the proportion of eggs which are classified as "small".c)It is desired that the proportions of "standard" and "large" eggs are equal. Findthe boundary value of the mass which separates the "standard" from "large".

We have to find given probability...

The masses of chicken eggs may be taken to be normally distributed with a mean of 60 g and a standard deviation of 18 g. Eggs are classified as "small", "standard" and "large" according to their masses. Eggs with a mass of less than 48 g are classified 6. as "small". Find the probability that a randomly chosen egg has a mass between 50 g and 70 g. a) b) Find the proportion of eggs which are classified as "small". c) It is desired that the proportions of "standard" and "large" eggs are equal. Find the boundary value of the mass which separates the "standard" from "large".

The masses of chicken eggs may be taken to be normally distributed with a mean of 60 g and a standard deviation of 18 g. Eggs are classified as "small", "standard" and "large" according to their masses. Eggs with a mass of less than 48 g are classified 6. as "small". Find the probability that a randomly chosen egg has a mass between 50 g and 70 g. a) b) Find the proportion of eggs which are classified as "small". c) It is desired that the proportions of "standard" and "large" eggs are equal. Find the boundary value of the mass which separates the "standard" from "large".

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The daily electric consumption of two houses were recorded. House A has consumes 375W (mean) the standard deviation is 15W. While House B uses 250W (mean), the standard deviation is 22W. 1. Find the probability for each house that the electric usage will not exceed 400W.2. Find the probability that both houses will exceed 400W in usage.3.Given the probability of 0.02, how much electricity must House B consume to avoid exceeding?
3) The lengths of a certain type of North Atlantic croaker fish are normally distributed. A sample of 1400 fish were collected and x = 10 inches and s= 2 inches. About how many fish will be between 8 and 14 inches in length? Home/ AX 28 10 en below 11 20 n 22 12 17 25 1, deviation Sx. 2) Sample ACT scores for a particular iation of 2.75 inches. What percentage of women
Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( 79 5 or or b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 86 mph. Round to 4 decimal places.
7) At one college, GPA's have a distribution that is unimodal and symmetric with a mean of 2.6 and a standard deviation of 0.5. What is the range of GPA's from one standard deviation below the mean to one standard deviation above the mean? A) 2.6 to 3.1 B) 2.1 to 3.1 C) 0.5 to 3.1 D) 2.1 to 2.6
a standarized reading exam has a mean score of 80 with standard deviation =12. the distribution of scores i normal. Find the percentage of test takers who got: a) under 80 b) between 68 and 92 c) over 100 d) over 25 e) what is the 40th percentile?
The Transport Network Vehicle Service (TNVS) drivers have an average booking of 22 rides a day with standard deviation of 15 rides. If 100 TNVS will be randomly selected, find the average bookings which fall on the right side of the 75th percentile of the distribution. A 25 B 67 C) 75 D 23
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 420 grams and a standard deviation of 24 grams. Find the weight that corresponds to each event. a. highest 20 percent b. middle 60 percent c. highest 80 percent d. lowest 15 percent
5. The mean birth weight for babies born one month early is 2630 grams. Assume that the population has a standard deviation of 220 grams. Sketch the distribution of birth weights (in grams) of children born one month early. Calculate probability of a child born one month early with a birth weight between 2100 grams and 2900 grams. Find the weight which corresponds to the top 25% of birth weights for babies born one month early.
6. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz. a. Find the probability that a single can of Coke has at least 12.19 oz. b. Find the probability that a pack of 36 cans of Coke have a mean of at least 12.19 oz. c. Suppose you measured the cans of a random 36-pack and got a sample mean of 12.19 oz. Is it reasonable to assume that the actual population mean is 12.00 oz? Why or why not?
III. SAMPLING AND SAMPLING DISTRIBUTIONS Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an average of 122 mmHg and a standard deviation of 10 mmHg. а. b. Calculate the probability that the blood pressure of an individual male from this population will be between 118 and 124 mmHg.
Suppose the mean blood pressure for people in a certain country is 130 mmHg with a standard deviation of 24 mmHg. Blood pressure is normally distributed. State the random variable. The mean blood pressure of people in the country. The standard deviation of blood pressures of people in the country. O The blood pressure of a person in the country. Suppose a sample of size 10 is taken. State the shape of the distribution of the sample mean. The shape of the sampling distribution of the sample mean is unknown since the population of the random variable is normally distributed and the sample size is less than 30. The sampling distribution of the sample mean is normally distributed since the population is normally distributed. The sampling distribution of the sample mean is unknown since the sample size is less than 30. Suppose a sample of size 10 is taken. State the mean of the sample mean. Suppose a sample of size 10 is taken. State the standard deviation of the sample mean. Round to two…