A department store has determined that 36% of all their sales are credit sales. A random sample of 65 sales is selected.  (a) Explain the distribution of the sample proportion of the credit card sales.  (b) What is the probability that the sample proportion will be greater than 0.40?  (c) What is the probability that the sample proportion will be between 0.30 and 0.40?

Q: The coach of a running team thinks that 45% of athletes can run a mile in under 7 minutes. A simple…

A: Given problem Given that   The coach of a running team thinks that 45% of athletes can run a mile…

Q: According to a study, 39% of adult Americans believes that marriage is now obsolete. A random sample…

A: Given Information p = 0.39 n = 500 Sampling Distribution of p-hat is Normal Distribution with mean…

Q: According to a study, 39% of adult Americans believe that marriage is nowobsolete. A random sample…

A: Determine the sampling distribution of p. Sampling Distribution of Proportion: From the…

Q: The probability that an individual is right-handed is 0.87. In a class of 100 students, what is the…

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Q: The CEO of TikTok thinks that 75% of users are under the age of 30. A simple random sample of 100…

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Q: What is the probability of selecting a sample with the proportion of females being 0.56 or greater?

A: here p =  proportion of female in US =  0.51  n = 500

Q: A population proportion is p = 0.72. A random sample of size n = 50 will be taken and the sample…

A: Given ,Population proportion , p = 0.72 Sample size , n = 50And , the sample proportion  will be…

Q: In 2017, the Restaurant Hospitality website reported that only 10% of surplus food is being…

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Q: The Food Marketing Institute shows that 17%  of households spend more than $100.00  per week on…

A: Obtain the probability that the sample proportion will be within + –0.02 of the population…

Q: (d) Would it be unusual for a random sample of 400 adults to result in 120 or fewer who do not own a…

A:

Q: A population proportion is 0.59. Suppose a random sample of 661 items is sampled randomly from this…

A:

Q: A population proportion is 0.61. Suppose a random sample of 655 items is sampled randomly from this…

A: Since there are 5 parts , as per Bartleby rules, I am submitting 3 parts. Please re post the…

Q: What is the probability that the sample proportion is greater than 0.61? b. What is the probability…

A: Let p be the population proportion. Given that p = 0.59 And sample size is n = 656 Note : According…

Q: The probabilities of a machine manufacturing 0, 1, 2, 3, 4 or 5 defective parts in one day are…

A: Total probability is always 1. So  So the probability distribution is: number of defective parts…

Q: b. What is the probability that a simple random sample of 55 unemployed individuals will provide a…

A: For the distribution of the no. of weeks an individual is unemployed, it is given that:The…

Q: A case of wine has 12 bottles, 3 of which contain spoiled wine. A sample of 4 bottles is randomly…

A:

Q: A population proportion is 0.59. Suppose a random sample of 662 items is sampled randomly from this…

A: As per our guidelines we are suppose to answer three sub parts .

Q: A population proportion is 0.61. Suppose a random sample of 655 items is sampled randomly from this…

A:

Q: A population proportion is 0.5. Suppose a random sample of 658 items is sampled randomly from this…

A: Given that : Population proportion =0.5 Random Sample =658

Q: Sleep apnea is a condition involving irregular breathing during sleep. Suppose that 20% of the…

A:

Q: About 78% of all female heart transplant patients will survie for at least 3 years. Sixty female…

A: From the provided information, Population proportion (p) = 0.78 Sample size (n) = 60

Q: A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving…

A:

Q: A department store has determined that 25% of all their sales are credit sales. A random sample of…

A: Given that, The mean of the sampling distribution is, The Standard error of the sampling…

Q: A record store owner finds that 20% of customers entering her store make a purchase. One morning 180…

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Q: A population proportion is 0.58. Suppose a random sample of 658 items is sampled randomly from this…

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Q: 28. What is the sample mean of these 16 data points? 29. What is the probability that a randomly…

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Q: Based on historical data, your manager believes that 33% of the company's orders come from…

A: Given that, p=33%=0.33 n=106

Q: When a sample contains 100 or more cases, what is the correct probability distribution to use?

A: Given: When a sample contains 100 or more cases, what is the correct probability distribution to…

Q: There are 500 employees in a firm, and 45% are female. A sample of 60 employees is selected…

A: Given that  Population proportion p=0.45 Sample size n =60

Q: According to a study conducted by the Gallup organization, the proportion of Americans who are…

A: P: population praportion=praportion of Americans who are afraid to fly. P=0.10 n=Random sample…

Q: Q. Illustrate different types of sampling (Probability & Non Probability) with real life examples.

A: Illustrate different types of sampling (Probability & Non-Probability) with real-life examples.…

Q: A population proportion is 0.58. Suppose a random sample of 658 items is sampled randomly from this…

A: Given data :  Mean p = 0.58 n = 658 SD = o = √ p(1-p)/n            = √0.58(1-0.58)/658           =…

Q: People end up tossing 12% of what they buy at the grocery store (Reader’s Digest, March 2009).…

A: Solution: It is given that people end up tossing12% of what they buy at the grocery store and the…

Q: There are 6 radar stations and the probability of a single radar station detecting an enemy plane is…

A: Solution: Let X be the random variable that the number of radar station detecting an enemy plane.…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.