Question: The yield in pounds from a days production is normally distributed with a mean of 1500 pounds and standard deviation of 100 pounds. Assume that

The yield in pounds from a day’s production is normally distributed with a mean of 1500 pounds and standard deviation of 100 pounds. Assume that the yields on different days are independent random variables.
(a) What is the probability that the production yield exceeds 1400 pounds on each of five days next week?
(b) What is the probability that the production yield exceeds 1400 pounds on at least four of the five days next week?

Step by Step Solution

★★★★★

3.47 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let X denote the production yield on a day Then PX1400 PZ 14001500 PZ 1 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

M-S-J-P-D (64).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Assume X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the value for x that solves each of the following: (a) P(X > x) = 0.5 (b) P(X > x) = 0.95 (c) P(x

Assume X is normally distributed with a mean of 5 and a standard deviation of 4. Determine the following: (a) P(X 0) (c) P(3

A random variable is normally distributed with a mean of 25 and a standard deviation of 5. If an observation is randomly selected from the distribution, a. What value will be exceeded 10% of the...

Mathematics 1670 Statistics Assignment #2 (Value: 10%) Due: June 9th@12 noon Directions: Answer all questions, show all workings. Submit your completed work via one of the approved methods (pdf...

it is about operation management, i found the answer of question number 1 on course hero, which is the following. Ordering cost = A = $12/order Demand = 60 per week = 3120 per year Interest rate = i...

Department of Information, Operations and Management Sciences Supply Chain Management and Purchasing B2 Case study 1: Inventory management: EOQ and SS Part 1 You are hired by a company to help...

2. Conduct Bayesian analysis for the following problem. Normal distribution with unknown mean: a random sample of n students is drawn from a large population, and their weights are measured. The...

Normal distribution - Examples Example 1 The lengths of the sardines received by a certain cannery is normally distributed with mean 4.62 inches and a standard deviation 0.23 inch. What percentage of...

A finite population consists of four elements: 6 , 1 , 4 , 2. (a) How many different samples of size n = 2 can be selected from this population if you sample without replacement? (b) List the...

WKS plc. Has been a customer of Global Carpets (GC) for 20 years. They have a global purchasing agreement which is due for renewal next year. WKS regularly gives this Sales Manager of GC 2 million of...

1. Jill did not consider combining the forecasts generated by the two methods she analyzed. How would she go about doing so? What would be the advantages and disadvantages of such action? 2. The...

What is float? The: Multiple Choice amount of cash a company can immediately wethraw from its bank account. dfference between book cach and bark cash change in the cash balance from coe accountring...

A beam of protons exits from a particle accelerator due east at a speed of 3.0 x 105 m/s. The protons then enter a uniform magnetic field of magnitude 0.50 T that is oriented at above 37o the...

A beam of light with red and blue components of wavelengths 670 nm and 425 nm, respectively, strikes a slab of fused quartz at an incident angle of 30o. On refraction, the different components are...

A beam of light traveling in air is incident on a trans-parent plastic material at an angle of incidence of 50o. The angle of refraction is 35o. What is the index of refraction of the plastic?

A beam of light is to undergo total internal reflection through a 45o 90o 45o prism (Fig. 22.27). (a) Will this arrangement depend on (1) the index of refraction of the prism, (2) the index of...

A beam of light is incident on a plane mirror at an angle of incidence of 35o. If the mirror rotates through a small angle of , through what angle will the reflected ray rotate?

A new medicine was given to 3200 patients. It made 99% of them feel better. For the other 1% the medicine made no difference. Work out how many of the patients the new medicine made better.

Suppose that you want to determine whether there is a difference between the distances traveled by two different brands of golf balls. You use the 30 people on your golf league to participate in the...

Suppose an instructor wants to study the association between caffeine intake and performance in the long jump. Th e instructor asks her students to suggest ways to collect data to investigate this...

Suppose an instructor wants to see if there is an association between the amount of sleep students get and their ability to memorize words. The instructor asks her students to suggest ways to collect...

What does the highest point in the frequency polygon show? A- it shows where most of the participants are clustered B- it shows where the least of the participants are clustered C-it shows where the...

open this Microsoft Word document. Using your knowledge of effective writing and the tips on page 147 for evaluating the work of other writers, evaluate this message. After you set Microsoft Word to...

Assessed Exercises Sheet 1 Al.1. Use the substitution x = a sinh u to work out the integral (a? + 12)1/2 dec. [4] A1.2. (i) Show that the Laplace transform of f(x) = x is 2. (ii) Show by induction...