A boy uses a homemade metal detector to look for valuable metal objects on a beach. The machine isn't perfect-it identifies only 98% of the metal objects over which it passes, and it identifies 4% of the nonmetallic objects over which it passes. Suppose that 25% of the objects that the machine passes over are metal. Find the probability that the boy has found a metal object when he receives a signal from the machine. Show your work.

Q: At TCNJ, 35% of the engineering majors belong to ethnic minorities. If 6 students are selected at…

A: Given,n=6p=0.35X=no.of students belong to ethnic minorityX~Binomial (n=6 , p=0.35)P(X=x)=nx pxqn-x…

Q: Defects occur at random in planks of wood with an average of 0.5 per 10 cm length. Office building…

A:

Q: Suppose the probability of getting an "A" in a certain class is 0.22. A group of 5 friends is taking…

A: Here we want to Determine the probability that none of the friends earn an "A" in the class.

Q: Industrial Robots are programmed to operate through microprocessors. The probability that one such…

A: The objective of this question is to find the probability that a robot will operate for at most five…

Q: In a large population, 59% of the people have been vaccinated. If 5 people are randomly selected,…

A:

Q: Research has shown that approximately 1 woman in 500 carries a mutation of a particular gene. About…

A: The probability that women with this mutation develop skin cancer is 0.71.

Q: 9% of all Americans live in poverty. If 38 Americans are randomly selected, find the probability…

A: The sample size is 38 and 9% of all Americans live in poverty.

Q: Whitney Pete, a professional dart player, has a 80% chance of hitting the bull’s eye on a dartboard…

A: Given that, probability of hitting a target = 0.8 Each throw is independent. The solutions are given…

Q: Marketers find that 87% of US teenagers use the Internet. Consider a random sample over 282 US…

A:

Q: Based on a​ poll, among adults who regret getting​ tattoos, 16​%say that they were too young when…

A:

Q: Power companies severely trim trees growing near their lines to avoid power failures due to falling…

A: Given that  n=250 , p=20%=0.20 , q=1-p=1-0.20=0.80 Mean=μ(p)=0.20 Standard deviation=σ(p)…

Q: 84% of all the field goals he kicks during in-season games. Assume each kick is independent of the…

A: Let X be the random variable from binomial with probability (p) = 84% = 0.84 and sample size (n) =…

Q: In a dance class, there are 20 females and 25 males. Fifteen are dancers from G-Force. Eight of the…

A: Given information: n(F)=20n(M)=25Total=45n(G-Force)=15n(M∩G-Force)=8 Find: P(F∪G-Force)=?

Q: A telephone network substation will keep trying to connect a long-distance call to a trunk line…

A: Let us suppose the success probability is given as 0.65 Success in this problem is connecting a long…

Q: Regifting is defined as the act of taking a gift that has been given to you and presenting it as a…

A: Given,n=10p=0.85q=1-0.85=0.15A random variable X~Binomial(n=10 , p=0.85)P(X=x)=Cx(0.85)x(0.15)10-x…

Q: A test is available to diagnose a disease. If a person has the disease, the probability that the…

A: Obtain the probability that the person has the disease and the test is positive. The probability…

Q: 42% of US adults have very little confidence in newspapers. You randomly select 10 US adults. Find…

A: Given that, 42% of US adults have very little confidence in newspapers. Sample size, n = 10

Q: Power companies severely trim trees growing near their lines to avoid power failures due to falling…

A: Given that  Sample size=250 20% chemical kill sycamore trees  We have to find the probability that…

Q: 45% of Americans don’t know the sun is a star. The data is normally distributed.Find the probability…

A: Given data, p=45%=0.45 n=120 P(p>0.42)=?

Q: In a large population, 61% of the people have been vaccinated. If 5 people are randomly selected,…

A: From the given information, Sample size (n) = 5, Probability of success (p) = 0.61.

Q: Of all the registered automobiles in a city, 5% fail the emissions test. Fifteen automobiles are…

A: We have given that  Sample size n=15  Probability of success p=5%=0.05  q=1-p=0.95 P(X=x)=…

Q: know the answer is 0.0166. I am struggling to remember the steps to get the answer. The image is to…

A:

Q: 8% of all Americans live in poverty. If 48 Americans are randomly selected, find the probability…

A: given data sample size n = 48population proportion who lives in poverty = p = 0.08x= no. of people…

Q: Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds…

A: smith checks 300 of the 7500 welds completed that shift.suppose x be the number of substandard…

Q: In a certain battery manufacturing plant, three factories, F1, F2, and F3, make 35%, 47%, and 18%,…

A: Given:

Q: The mean percent of childhood asthma prevalence in 43 cities is 2.18%. A random sample of 33 of…

A: The sampling distribution of the mean childhood asthma prevalence  will follow normal distribution…

Q: It has been reported that 48% of people text and drive. A random sample of 60 drivers is drawn. Find…

A: The z-score is calculated by using: Where,

Q: 1. Each sample of water has a 10% chance of containing a particular organic pollutant. Assume that…

A: Given: n=18 and p=0.1 Use binomial probability asPX=x=Cxnpx1-pn-x                      ;x≤n

Q: The pass rate in Math146 at GRC is only 30% per quarter. 8 students are taking Math146 this quarter.…

A:

Q: In the winter, guests who visit Yosemite National Park like to stay at an overnight lodge in the…

A: Given that, Probability = 0.57 Sample size, n = 6

Q: Jack is a randomly selected member of a large group in which 2% are drug users. Jack tests positive…

A: Let us define some events A : Jack uses drug. B : Jack does not use drug. E : Jack tests positive.…

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: A group of people were asked if they had run a red light in the last year. 326 responded "yes", and…

A: Given, a group of people were asked if they had run a red light in the last year, 326 responded…

Q: The best free throw shooter in NBA history is Stephen Curry who has made 91% of his free throw…

A: Let  be the number of number of free throws.The probability of making free shot:  The total number…

Q: A person died prematurely, find the probability with which he could have been a heavy smoker given…

A: Step 1:First, we define the events:D: The person died prematurelyH: The person is a heavy smokerL:…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.