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Stats probability help?

I believe this problem is under BINOMIAL DISTRIBUTION. However, since the number of samples is very large, I could just use the NORMAL DISTRIBUTION.

Given:
n = 250
a = 140
p = 56% or 0.56
q = 1 - p = 1 - 0.56 = 0.44


SOLUTION:
µ = n ∙ p = 250 ∙ 0.56 = 140
σ = √ (n∙p∙q) = √ (250 ∙ 0.56 ∙ 0.44) = 7.848566748 ≈ 7.85

P(X ≥ 140) = P(X > a - 0.5) = P(X > 140 - 0.5) = P(X > 139.5)

Solving for the z value:

z = (X - µ) / σ
z = (139.5 - 140) / 7.85
z = 0.126933576 ≈ 0.13

Based on the Standard Normal Distribution Table, the probability for z = 0.13 is
P(z = 0.13) = 0.5517

ANSWER: There is a probability of 0.5517 that at least 140 people read at least six books.

What is the probability?

During a 52 week period, a company paid over time wages for 18 weeks and hired temporary help for 9 weeks. During 5 weeks,the company paid overtime and hired temporary help.

If an auditor randomly examined the payroll records for only one week,what is the probability that the payroll for that week contained overtime wages or temporary help wages.

what is the formular?

Help with basic probability?

Basic probablity question , someone help?
A 2-out-of-3 system is one that will function properly if at least 2 of the 3 individual components in the system function properly. The 3 individual components function independetly of one another. They also fail independently of another each with probability of 0.1


What is the expected number of independent components that will function properly?

Thanks

Help with a probability problem?

I agree with bandf but think he has (3) and (4) reversed.

I think (3) = ((0.25 + 0.21) + 0.32) - 0.54 = 0.24
I think (4) = 0.54 - 0.25 - 0.21 = 0.08

Too much and too little enamel (improper amt) are mutually exclusive. But obviously uneven application can overlap with improper amt because,
0.25+0.21+0.32 = 0.78 > 0.54.
The excess is 0.24 which represents uneven application and improper amount.

Total defects are 0.54, and improper qty is 0.46, so the difference, 0.08, represents uneven amt only.

Probability/statistics help!!!?

Consider a multiple choice exam w/ 50 questions. Each question has 4 possible answers. Assume that a student who has done the homework and attended lectures has a 75% probability of answering any question correctly.
A) a student must answer 43 of 50 q uestions correctly to get an A. what percentage of the students who have done their homework and attended lectures will obtain a grade of A on this multiple-choice exam.
B) a student who answers 35 to 39 questions correctly wil get a C. what percentage of students " " will obtain a C?
C) a student must answer 30 or more questions correctly to pass the exam. what percentage of students " " will pass?

Help! Probability Exercise?

I just cannot seem to get this concept!

"After studying all night for a final exam, a bleary-eyed student randomly grabs 2 socks from a drawer containing 9 black, 6 brown, and 2 blue socks, all mixed together. What is the probability that she grabs a matched pair?"

I need to solve the problem using combinations/permutations but I'm just not getting it! I've been going back and forth for ages now and it's not getting any clearer...

Statistics - probability - help?

Please see the attached image. I did the first part and I don't know how to do the rest. Appreciate it help.

c) Given that the respondent is a husband, what is the probability that he feels he is better at getting deals than his wife? (Round your answer to four decimal places.)
d)Given that the respondent is a wife, what is the probability that she feels she is better at getting deals than her husband?
e) Given a response "My spouse" is better at getting deals, what is the probability that the response came from a husband?
f) Given a response "We are equal," what is the probability that the response came from a husband? What is the probability that the response came from a wife?

Pls help probability help due tomorrow!!?

This Mars robot rover has four wheels. Each wheel is turned by a motor.

In order to accomplish its mission, the robot will be required to move around on the surface of Mars (starting and stopping) for 60 days.
Testing of the kinds of motors that will be used on the wheels shows that the probability that a motor will fail in 60 days of start-stop-start running is 3 out of a thousand, or 0.003.

However, if only one motor fails, the robot can keep moving. Both motors on a side must fail to stop the robot.

Remember this rule of probability for independent1 events A and B: Probability of both A and B = (Probability of A) (Probability of B)

1)What is the probability of failure of both of the two motors on the right side?

2)What is the probability of failure of both of the two motors on the left side?

Our mission will fail if either 1) or 2_ above occurs.

3)Use this law of probability to find out how likely that is:
Probability of either X or Y = Probability of X + probability of Y –
(Probability of X) (Probability of Y).

4)Suppose we put three wheels on each side of the robot, so that all three motors must fail to stop the robot. What is the new probability of mission failure?

pls help idk how to do this and need help so if u can explain that'd be gr8 on how u got the answer.

How can probability help us in everyday life?

Probability and chance both study the possibilities of different things happening based on a few known factors. Often, scientists, mathematicians and statisticians attempt to use idealized models of the real world to predict the behaviors and outcomes of certain people and scenarios. These can be used to try and understand probability in daily life. Almost every possible activity or outcome has a probability. For example, someone might wonder about the probability they will get a high enough grade on a test they have taken or if they will be accepted for a job they applied for. Some people worry about the probability that their bus or train might be late and make them late for work or the probability that the interest rates at their banks will go down. Some of these things can be modeled and estimated effectively with probability and statistical methods.

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