A burglar alarm system has 6 fail-safe components. The probability of each failing is 0.03. What is the probability such that none of them is failing?

Q: From experience, an airline knows that only 85% of the passengers booked for a certain flight…

A: Given Information :  From experience, an airline knows that only 85% of the passengers booked for a…

Q: The Royal Armouries Museum receives 48 people per hour during weekdays. What is the probability of…

A: Let X denote the number of people receive in 5 minutes. It is given that Number of people in 60…

Q: in Georgia, 88% of all household have television. 51% of all households have a television and an…

A: Using Bayse's theorem; P(B/A) = P(A and B)/ P(A)   p(A)=Probability of having a television p(B)=…

Q: According to government data, the probability that an adult was never in a museum is 15%. In a…

A: The probability density function of binomial distribution is: Here, p=0.15, n=10.

Q: In a large population, 50 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Givenp=50%=0.50n=3x=noof people get vaccinatedx~Binomial(n=2,p=0.50)P(X=x)=Cxn px (1-p)n-x    ;…

Q: If you toss a fair coin six times, what is the probability of getting all heads?

A: Concept: The number of ways of achieving success that is the total number of possible outcomes is…

Q: Carson has a 30% chance of beating his brother in a race. If they raise 10 times, what is the…

A: (n C r) prqn-r

Q: What is the probability a car with an alarm system had a CD player?

A: Define some events A : car had CD player. B : car had alarm system. Given that P(A) = 0.64, P(B) =…

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

A: Let , A=all students play foot ballB=all students play basket ballgiven,P(A∩B)=0.05P(A)=0.32

Q: The finance class has 11 students, what are the odds that all 11 students are men? what is the…

A: Odds in favor of an event is defined as the ratio of the number of outcomes favorable to that event…

Q: In a family of 11 children, what is the probability that there will be more boys than girls?

A: Given: Number of children in the family n=11

Q: If you are interested in the probability of two successes out of five trials, what is the correct…

A: Given  Let p be the probability p=0.30,  n=5. X~Bin(n=5,p=0.30) P(X=2)=?

Q: In a large population, 51% of the people have been vaccinated. If 5 people are randomly selected,…

A: Probability of selecting a person who has been vaccinated is 51% or 0.51 Number of observation = 5…

Q: In a family with 4 children, excluding multiple births, what is the probability of having exactly 1…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: About 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability…

A: Given: About 8% of the U.S. population catches the flu each season.

Q: An electrical system consists of fourcomponents as illustrated. What is the probability that the…

A:

Q: In a family with 7 children, excluding multiple births, what is the probability of having exactly 1…

A: It is given that there is equal chances of having a boy and a girl. So the probability of having a…

Q: If the probability of having type AB Blood is 0.520, what is the probability that in a group of four…

A: Given: P( having AB blood) = 0.520 n = 4

Q: If three coins are tossed simultaneously, the probability of getting at least one head is

A: Given that three coins are tossed simultaneously. we have to find PROBABILITY of getting at least…

Q: A certain type of ochro seed germinates 75% of the time. A backyard farmer planted 6 seeds. What is…

A: Givenn=6p=0.75x~Binomial(n=6,p=0.75)P(X=x)=Cxn px (1-p)n-x  ; x=0,1,2...,n

Q: Suppose a group of students take an influenza test and 96% of the students test positive. What is…

A: Given that Student tested positive = 96% I.e probability of students tested positive is =0.96

Q: On a five-day vacation, the forecast is a 55% chance of rain every day. What’s the probability that…

A: Let p denote the probability of rain every day = 0.55 Let n be days in an vacation = 5 Let the R.V X…

Q: The Clippers basketball team are predicted to win 90% of their games during the playoffs.  If this…

A: From the given information, n=3 p=0.90 Using binomial distribution, the required probabilities will…

Q: In a family of 6 children, what is the probability of getting exactly 5 boys?

A: Given: n=6probability of boy p=0.5probability of girl q=0.5 The probability of getting exactly 5…

Q: If an average of 18 customers are served per hour, what is the probability that the next customer…

A:

Q: A medication states that the odds of having an allergic reaction are 1 in 50. What is that…

A: Given, odds of having an allergic reaction are 1 in 50. Therefore, The probability of having…

Q: According to insurance records, a car with a certain protection system will be recovered 95% of the…

A:

Q: A medication states that the odds of having an allergic reaction are 2 in 200. What is that…

A: A medication states that the odds of having an allergic reaction are 2 in 200.

Q: In a large hotel, it is known that 99% of all guests return the room keys when checking out. If 250…

A:

Q: If 11 seeds are planted, what is the probability that exactly 4 don't grow?

A:

Q: what is the probability all three would be smokers?

A: Let , X be the number of smokers Here , X→B(n=3 , p=0.20) The probability mass function of X is ,…

Q: What is the probability of hitting a target if, in the long run, 6 out of every 35 attempts actually…

A: It is given that  Favourable cases = 6 Total outcomes = 35

Q: In a technology company, it is known that the average of network failure is 3 per week. What is the…

A: Let X denote the number of failures per week.  It is given that Average number of failures per week…

Q: At a store, the average number of customers entering is 10 persons per half an hour. What is the…

A: Solution: Let X be the number of persons enter within 10 minutes. From the given information,…

Q: in a classroom of 30 students, what is the probability that at least two of the students share a…

A: Introduction:The probability of an event is the number of cases favorable for the event, divided by…

Q: A fair coin is flipped twice. What is the probability of showing heads on both flips?

A: Given: A fair coin is flipped twice. Objective of this question is to find the probability of…

Q: When a pair of dice is thrown 20 times, what is the probability of getting doubles at least once?

A: There are 6 sides in a die. So, if a die is thrown then total number of outcomes = 6 So, total…

Q: In a large population, 40 % of the people have been vaccinated. If 4 people are randomly selected,…

A:

Q: If you play, what is the probability that: You get at least one skull ?

A: here given, there are total 3 wheel  each wheel stop on single symbol, here outcome on each wheel…

Q: In a technology company, it is known that the average of network failure is 2 per week. What is the…

A: Let X denote the number of failures per week.  It is given that Average number of failures = 2

Q: About 8% of the US population catches the flu each season assuming everyone has equal probability of…

A:

Q: If 70% of a population is vaccinated, and the hospitalization rate is 5 times higher for an…

A: Dear student, If you find this solution helpful please upvote ? it.

Q: What is the probability that A or B3 occurs? Given that B2 has occurred, what is the probability…

A:

Q: in a quiet group of eight people, the probability of one person starting to speak is 1/3. What is…

A: Basic probablility

Q: Given that 20 books in a shipment of 200 books contain misprints, and you buy three of them. What is…

A:

Q: In a family with 4 children, excluding multiple births, what is the probability of having exactly 2…

A: Given data, n=4 Let probability of getting a girl=0.5 Let X be event of having a girl P(X=2)=?

Q: A certain type of ochro seed germinates 75% of the time. A backyard farmer planted 6 seeds. The…

A: Let the random variable 'X' represent the number of seeds that germinate. The random variable X will…

Q: In general, after a group makes a reservation at a restaurant, they do not show up 20% of the time.…

A: Multiplication rule for independent events:If two events A and B are independent then the…

Q: According to government data, the probability that an adult was never in a museum is 15%. In a…

A: It is given that n = 10 and p = 0.15.

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!