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: 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: A campus student club distributed material about membership to new students attending an orientation…

A: Let M be the men, W be the women, And J be the they joins the club. We have given information with…

Q: A student in a class has a 0.7 chance of reviewing only his or her lesson the night before the quiz.…

A: Solution

Q: Calculate the probability for both groups.

A: It is given that  The number of family from CA owns a home = 730 The number of family from CA do not…

Q: Consider the experiment where two dice are rolled. Find the probability that the maximum of the two…

A:

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

A:

Q: A student is writing a quiz with four t/f questions.  The student wants to know the theoretical…

A: The provided information is as follows:The total number of questions is .There are two choices for…

Q: In a large population, 53 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given information- Given problem is of binomial distribution. Probability of success, p = 0.53 No.…

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 jar contains green wrapped candies and yellow wrapped candies.  A person selects two wrapped…

A:

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: 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: Fast forward five years and you now work at TikTok. Internal reports show your users spend an…

A: From the provided information, Mean (µ) = 26 minutes Standard deviation (σ) = 12 minutes Let X be a…

Q: In a large online music database 15% of the songs are from the K-Pop genre. A random sample of ten…

A:

Q: A population is composed of 100 people. Five of these people are clinically depressed (p=.05). If…

A: Answer: Given that:                    p=0.05       ,   n=3                       now will use…

Q: A Student takes an exam with 10 questions suppose that a student was able to study a little for the…

A: Given that, A Student takes an exam with 10 questions suppose that a student was able to study 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: You pick 25 cards from a deck all at once.  Find the probability that at least 28% of your cards are…

A: Obtain the probability that at least 28% of your cards are face cards. The probability that at least…

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: A sample survey interviews an SRS of 267 college women. Suppose that 70% of college women have been…

A: The distribution of data follows normality can be checked using the two conditions :  np≥5 n1-p≥5…

Q: It is given that 5% of the flower pots arriving to the florist are broken. Find the probability when…

A: It is given that 5% of the flower pots arriving to the florist are broken.

Q: The probability that an adult possesses a credit card is .65. A researcher selects two adults at…

A: P(posseses credit card ) = p = 0.65 So q  =1-p = 0.35 Select two at random

Q: A local jam production company is confident that 60% of the population will like its new grapefruit…

A: p = 0.6 n = 200   The expected value is  E(X) =np E(X) = 200 x 0.6 E(X) = 120

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:…

Q: Marta likes to play two different lottery games.  The probability of winning the first game is 0.08,…

A: Let, Event W1 is winning the first game, event W2 is winning the second game. The probability of…

Q: In a clinical trial, 3% of the patients in the study experienced fatigue as a side effect. Suppose…

A: Given that  n=20 , p=3%=0.03 , q=1-p=1-0.03=0.97 X~Binomial(n=20 , p=0.03) X=Number of the patients…

Q: The probability of a man hitting a target is 4. How many times must he fire so that the probability…

A:

Q: Suppose that 1.4% of men and 3.6% of women have night-blindness. Assume the population consists of 4…

A:

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.