3. If 20% of the bolts produced by a machine are defective, determine the probability that out of 4 bolts chosen at random, (a) 1, (b) 0, (c) less than 2, bolts will be defective.

Q: d) A report indicates that 75% of all Parliament members agree with the proposal to lower the voting…

A: The given probability of all parliament members agree with the proposal is 0.75. It means that the…

Q: 1. At UOHB, 5% of all students play football and basketball, 32% of all students play football. What…

A: P(A|B)= P(A∩B)/P(B) Where  P(A|B)=probability of event A occurring given that event B has already…

Q: 2. In a factory that produces pieces of ready-made concrete, if the percentage of producing…

A: Given,n=5p=0.6q=1-p=1-0.6=0.4X=no.of defective piecesX~Binomial (n=5 , p=0.6)P(X=x)=nx px qn-x    ;…

Q: 2) Compute the probability of event E if the odds in favor of E are 11 to 9.

A: We will find out the required value.

Q: 2. An Italian web site claims that 80% of all downloads consist of books by foreign authors.…

A:

Q: 70% of iPhone batteries are made from China and 30% from Korea. The failure rates within a year for…

A: Let C denotes batteries produced from china, K denotes batteries produced from Korea and F denotes…

Q: Assume that the monthly worldwide average number of airplaine crashes of commercial airlines is 2.2.…

A: poisson distribution is given by

Q: If 3% of the electric bulbs manufactured by a company are defective, find the probability that in a…

A: Given: Proportion if defective bulb =0.03 Number of bulbs (n) =100 In this question we will use…

Q: 3. A recent report was issued that suggested 45% of all cell phone calls in 2022 will be scams.…

A: The provided information is  n=500 p=0.45 X~B(n=500,p=0.45)   The mean and variance is…

Q: Assume that 40 percent are of type A, 30 percent of type B, and 30 percent of type C. It is known…

A: Let G= Event that the seed is germinated P(A)=0.40 , P(B)= 0.30 , P(C)=0.30 P(G|A)=0.20 ,…

Q: Assuming that 30% of randomly selected adults have high cholesterol (with a level at least 240 mg/dL…

A: Given Information: 30% of randomly selected adults have high cholesterol  i.e., p=0.30 Sample size…

Q: According to the American Diabetes Association (2013), 8.3 % of the U.S. population have diabetes.…

A:

Q: Suppose that 50% of adult Australians believe that Australia should apply to host the next rugby…

A: Given: p=0.5 n=150

Q: 15. If 4% of the total output of panels are substandard, find the probability of obtaining 0, 1,2,…

A:

Q: 4) Suppose that among employed women, 25% have never been married. Suppose we randomly sample women…

A: Formula : Geometric distribution is given by

Q: 3. The Philippine Institute of Volcanology and Seismology (PHIVOLCS) records an average of 20…

A: Solution

Q: A manufacturer obtains​ clock-radios from three different​ subcontractors:10%from​ A, 20%from​ B,…

A: Let us denote X= defective  Given that P(A)= 10%=0.10  P(B)= 20%= 0.20  P(C)= 70%=0.70  P(X|A)= 5%=…

Q: 7. Suppose that for a very large shipment of integrated circuit chips, the probability of failure…

A:

Q: 3) Suppose that among employed women, 25% have never been married. Suppose we randomly sample women…

A: Given that, among employed women, 25% have never been married p=0.25 We have to find probability…

Q: 8. A recent study finds that 40% of all professors found their job extremely stressful. Suppose 12…

A:

Q: 29. If 10% of the fluorescent light bulbs, manufactured by a factory are defective, find the…

A: Solution

Q: Suppose that the time students wait for a bus can be described by a uniform random variable X, where…

A: X~ U (15 ,55 ) Find ( a ) P ( 15<X<25 ) =? ( B ) p ( x>=25 ) =?

Q: 3. Suppose eight coins are tossed simultaneously. If the random variable X denotes the number of…

A: I solved exactly first question because of bartleby policy if you want more please upload…

Q: 7. Suppose that for a very large shipment of integrated circuit chips, the probability of failure…

A:

Q: . Based on the data in the Statistical Abstract of the United States, the probability that a newborn…

A:

Q: 7. One prominent physician claims that 70% of those with lung cancer are heavy smokers. If his…

A:

Q: 6. Suppose that 60% of the soda-drinking population favors Coca-Cola over Pepsi. Also, suppose you…

A: Here use distribution of sample proportion

Q: 3. Of the population of customers of a store, a proportion of 0.4 are not satisfied with the service…

A: As per our guidelines, we are allowed to answer first question only. Please re-post Q4,5 . Thanks…

Q: I. In 2020, 47% of Americans travelled for Thanksgiving. Suppose 8 random Americans are surveyed. a)…

A: If we have n trials each having two outcomes, say Success and Failure, trials being independent and…

Q: 2. Wanda receives on average 8 messages from Vision in a 3 hour period. What is the probability that…

A: Given on average 8 messages from vision in a 3 hours periodλ=8 messages from vision in a 3 hours Let…

Q: If 25% of the parts produced by a machine are defective (p = 0.25), 5 from the track; a) What are…

A:

Q: A process yields 10% defective items. If 100 items are randomly selected from the process, what is…

A:

Q: S) Of the 84 people who answered "yes" to a question, 14 were male. Of the 73 people that answered…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 12 If 2 per cent of a certain brand of light bulbs are defective, find the probability that, in a…

A: As per given by the question, find the probability that in a random sample of 80 bulbs, a total 0,…

Q: What is the probability that in a random sample of 440 voters, less than 48.8% say they will vote…

A:

Q: 4. A pharmaceutical company knows that approximately 5% of its birth- control pills have an…

A:

Q: 8. It is estimated that 80% of people in Cyprus take paracetamol for headache treatment. Out of 5…

A: The Binomial probability mass function formula is stated as below                          P(X=x)…

Q: 12. Find the probability that at most 5 defective fuses will be found in a box of 200 fuses if…

A:

Q: 2) Twenty-six percent of couples who plan to marry this year are planning destination weddings. In a…

A: Given : p= 0.26 q = 1 - p    = 1 - 0.26 = 0.74 n = 12

Q: 13. Suppose that a lot of 5000 electrical fuses contain 5% defectives. If a sample of five fuses is…

A: Given,n=5000p=0.05here A random variable X~Poisson(λ)because n is large and p value very smallso ,…

Q: b. What is the probability that an individual in this sample has length of residence greater than 5…

A: a. Using Excel let us plot the probabilities. After plotting the probabilities we calculate the…

Q: 4. A committee of size 7 is to be selected from 10 men and 6 women. Find the probability that 4…

A:

Q: the sales manager knows that 18% of his clients do not pay their debts in full. He supposes that he…

A:

Q: 1. Suppose that X is the number of defective items found in a sample size of 3 from a box containing…

A: Since you have posted multiple  questions , we will solve first question for you. To get the…

Q: Suppose a population consists of 10 items, four of which are classified as defective and six of…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: The manager of Toy World has decided to accept a shipment of electronic games if none of a random…

A:

Q: 3. The assembly line that produces an electronic component of a missile system has historically…

A: Given data The assembly line that produces an electronic component of a missile system has…

Q: the sales manager knows that 10% of his clients do not pay their debts in full. He supposes that he…

A: We have to find out given probabiity that 14%  or more will not be fulfilled in their…