Four of the light bulbs in a box of ten bulbs are burnt out or otherwise defective. If two bulbs are selected at random without replacement and tested, (i) what is the probability that exactly one defective bulb is found? (ii) What is the probability that exactly two defective bulbs are found ?

Q: Thirty-five rose bushes are available from a nursery containing 16 red bushes, 11 yellow bushes, and…

A:

Q: In music, when going up an octave you double the frequency. For instance, if one note has a…

A: 1) Given that when going up an octave we double the frequency. If one note has a frequency of 400…

Q: (4) Of 50 fitness buffs, 25 like bicycling, 35 like jogging, and 15 like bicycling and jogging. a.…

A:

Q: From a lot of 35 fire bombs, 20 are selected at random and fired. If the lot contains 11 defective…

A: i) There are total 35 firebombs. Among them, 11 are defective firebombs. So (35-11)=24 are good…

Q: A population of women has 40% with dark eyes. If a sample of 20 women are selected from this…

A: Given: p=0.4 n=20 Let X~B(n,p)

Q: There are 15 broken light bulbs in a box of 100 light bulbs. A random sample of 10 bulbs is chosen…

A:

Q: A recent survey indicates that 62% of HKBU students who registered in an MATH course have purchased…

A:

Q: What is the probability that the set selected contains the letter A and does not contain the letter…

A: Here An experiment consists of randomly selecting a set of 5 letters from the 26 letters in the…

Q: A bag of 29 tulip bulbs contains 12 red tulip bulbs, 9 yellow tulip bulbs, and 8 purple tulip bulbs.…

A: GivenTotal no.of tulip bulbs in a bag = 29No.of red tulip bulbs = 12No.of yellow tulip bulbs =…

Q: Identify whether the given hypothesis is null or alternative. If it is an alternative hypothesis,…

A: The training group scores will not be different from the control group scores

Q: If there are eight questions and each question has four answer choices, what is the probability she…

A:

Q: 10 people at a concert are seated in row 2 and randomly assigned numbers 1-10.  (a) What is the…

A: 10 people at a concert are seated in row 2 and randomly assigned numbers 1-10.

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 53% of…

A: Solution: Let A be the event that the athletes are football players. P( A) = 0.53 B be the  event…

Q: A box consists of five green balls, three black balls and seven red balls. Two balls are selected…

A: Given that  five green balls, three black balls and seven redballs Two balls are selected without…

Q: The workers union at a particular university is quite strong. About 94% of all workers employed by…

A: We have to find given probability.

Q: about 38% of the population have blood type-O positive. If you randomly choose 4 people, what is the…

A: It is given that p = 0.38 and n = 4. The probability mass function of the binomial distribution is…

Q: 2. A closet contains 13 different pairs of gloves. The 26 gloves are randomly arranged into 13…

A: The term probability is defined as the chance of occurrence of an event. The probability value…

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 28% of…

A: Consider an event F that defines that a randomly selected player is a football player and consider…

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 20% of…

A:

Q: A box contains 8 batteries, 3 of which are defective. What is the probability that, if a sample of 5…

A: Given that a box contains 8 batteries, 3 of which are defective.  Sample size = 5

Q: The air conditioner of 2 out of 10 cars in a car dealership is faulty. For a company that buys 4 of…

A: Giventhe air conditionerof 2 out of 10 carsis…

Q: From a lot of 15 missiles, 5 are selected at random and fired. If the lot contains 3 defective…

A: GivenTotal lot of missiles(N) = 15no.of missiles to fired(n) = 5no.of defective…

Q: 322 chickens on a farm lay brown eggs and 326 chickens on the farm lay white eggs. If a chicken is…

A: The total number of outcomes is 322+326 =648. The number of favourable outcomes is 326.

Q: (a) A new manufacturing facility is to be built. There are 15 possible sites. A team of engineers is…

A: a) The total number of possible sites is 15.

Q: A class has 36 students. Each student studies either Math or Computer or both. 20 students study…

A: It is given that, 20 students study Math i.e. n(Maths) = 20 and 25 students study Computer i.e.…

Q: A hat contains 184 slips of paper. 68 of these are Blue; the rest are Pink. Two slips are selected…

A:

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 6% of…

A: It is given that P(football) = 0.06 P(basketball) = 0.70 P(football and basketball) = 0.04

Q: Suppose a factory produces computer chips, and 2% of the chips are defective. If a sample of 100…

A: The probability that exactly 3 chips are defective is obtained below as follows: The conditions for…

Q: A lot of 100 lightbulbs is inspected in which 10% of the bulbs are defectives. Samples of ten bulbs…

A: Given: Lot has 100 lightbulbs  10% of them = 10 are defectives sample size n = 10 For a lot to be…

Q: A lot of 24 bulbs contains 25% defective bulbs. A bulb is drawn at random from the lot. It is found…

A: A lot of 24 bulbs contains 25% defective bulbs so, no. of defective bulbs = 24(0.25) = 6 no. of not…

Q: A bag of 100 tulips bulbs purchased from a nursery contains 40 read tulip bulbs, 35 yellow tulip…

A: The objective of this question is to find the probability of selecting a red tulip bulb from a bag…

Q: A corporation is inspecting solar panels it purchased from a vendor. The shipment usually contains…

A: Obtain the probability that for a given sample, there will be 1 defective solar panel. The…

Q: A box contains 10 balls, of which 5 are red and 5 are blue. Four balls are drawn randomly, without…

A: Given that: Total number of balls=10 Number of red balls = 5 Number of blue balls = 5

Q: What is the probability that this package will be rejected?

A: Solution: From the given information, out of 15 light bulbs 3 are defectives.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.