Four Red marbles numbered 1 to 4 and eight black marbles numbered 1 to 8 are put into a bag. i) One marble is drawn, colour noted and replaced. Then the second marble is drawn and replaced. What is the probability that both marbles are red? i) If four marbles are drawn at random without replacement, what is the probability that all four marbles are red? If a marble is drawn, what is the probability that the marble will be a numbered marble 4 or a black marble? ii)

Q: (a) Processor made by a certain company are considered to be defective with an independent probabili...

A:

Q: Giving a test to a group of students, the grades and gender are summarized below   A B C Total ...

A:

Q: 4. Consider the following grouped data Classes 0-2 2-4 4-6 6-8 8-10 Frequency 8 2 3 5 4 a) Find mome...

A: (a). Obtain moments about origin and moments about mean. The data represents the frequencies for the...

Q: The claim is made that college students get less than seven hours of sleep per night on average. To ...

A:

Q: For a continuous probability distribution, 0 < x < 10. What is P(x = 7)? Answer to the first d...

A: In general, the probability at any particular point is zero for continuous probability distributions...

Q: How much will 1800 grow to at 3% annual for 5 years, compounded yearly?

A: The provided data is, P = 1800 r = 3% compounded yearly t = 5 years The compound amount can be obtai...

Q: What is the probability of drawing a card that is red or a king!

A:

Q: (a) Based on a recent study, the monthly utility bills for three-room flats in Singapore can be assu...

A: GivenMonthly utility bills for three room flats in Singapore are normally distributedMean = $135Stan...

Q: Compute the indicated quantity.  P(A)= .3, P(B)= .4. A and B are independent. Find P(A n B)

A: From the provided information, P (A) = 0.3 and P (B) = 0.4 The events A and B are independent.

Q: From time to time, the UTM Human Resource (UTMHR) department observes various employees fortheir wor...

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case yo...

Q: Have American males (AMs) gotten heavier over the last 20 years? A random sample 77 AMs in 2019 had ...

A: i) Null hypothesis: H0: μx –μy=0 Alternative hypothesis: Ha: μx –μy>0 The test statistic is as fo...

Q: Use the information in the scenario provided to prepare a managerial report for Office Equipment, In...

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have ...

Q: What is the probability of the number being odd GIVEN that a prime has been rolled?

A:

Q: Given the following frequency table shows the distribution of the marks of a course.    Find the med...

A: Median:

Q: In a lottery game, a player picks six numbers from 1 to 39. If 5 of the 6 numbers match those drawn,...

A: The player can pick any 6 numbers from 39 numbers in 39C6 = 3262623 ways  there are 6 numbers to mat...

Q: Suppose we are testing the null hypothesis H0: μ = 13 against the alternative Ha: μ < 13 from a n...

A:

Q: A shop is planning an order for a popular Christmas festive season product. Demand for the product u...

A: From the given information, Consider, Demand = X be a random variable. P (X=x) = p, 0< p<1   ...

Q: Answer this question, please!

A: a) Mrs. Glum receives a birthday present if Mr. Glum remembers his wife's birthday and buys her a pr...

Q: A customer from Cavallaro's Fruit Stand picks a sample of 5 oranges at random from a crate containin...

A:

Q: An automobile company is looking for fuel additives that might increase gas mileage. Without additiv...

A: State the hypotheses That is, there is no sufficient evidence to conclude that the mean fuel additi...

Q: Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped wit...

A: Given information- We have given two sample of mean stopping distance of car with two different type...

Q: The ages, t years of 7 hospital patients and their blood pressure, p mmHg are shown in Table 3.Table...

A: Procedure to obtain regression equation using EXCEL: Enter the data in an Excel sheet. Go to Data &...

Q: A company has 100 employees, of which 57 are production workers, 40 are managers of different levels...

A: a. The total number of employees in the company is 100. The number of production workers is 57. Thus...

Q: Eagle flu can be devastating for those who are hospitalized. Researchers at JJ Health Services took ...

A: Requirements for Binomial Distribution:   The Binomial distribution is useful if the experiment has...

Q: Lee's gross salary is $6000 per month, but federal and state income tax totals about 30%. What is le...

A: Given data:   The gross salary of Lee is: S=$6000 The federal and state income tax is: 30%. STEP-1 T...

Q: A sample of n = 16 scores produces a t statistic of t = 2.00. If the sample is used to measure effec...

A: From the given information, n=16 and t=2.00

Q: A certain disease has an incidence rate of 0.3%. If the false negative rate is 7% and the false posi...

A: Given information incidence rate = 0.3%  false negative rate = 7%  false positive rate = 3% Calculat...

Q: Write the binomial probability and the normal probability for the shaded region of the graph. Find t...

A:

Q: Giving a test to a group of students, the grades and gender are summarized below   A B C Total ...

A: The given data set is:   A B C Total Male 5 19 7 31 Female 13 11 1...

Q: From a group of 10 people, you randomly select 3 of them.What is the probability that they are the 3...

A:

Q: Task 8: Answer the following: The profits of a mobile company are normally distributed with Mean of ...

A:

Q: The respiratory rate per minute in a newborn varies according to a distribution that is approximatel...

A: Obtain the probability that a randomly chosen new-born has a respiratory rate per minute between 40 ...

Q: Assume that the probability of a boy being born is the same as the probability of a girl being born....

A: Given data:   The expression for the probability of a boy being born is the same as the probability ...

Q: 3 Let f(x,y) = 16xy²0<x < 2,0 < y <2 a. Show thatf (x,y) is a valid PDF b. Find the marginal distrib...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for y...

Q: Births are approximately uniformly distributed among the 52 weeks of the year. They can be said to f...

A: Let x be the births a.As it is known that the continuous probability at a particular point is alway...

Q: A customer from Cavallaro's Fruit Stand picks a sample of 5 oranges at random from a crate containin...

A: From the provided information, The crate contains 65 oranges out of which 6 are rotten. The probabil...

Q: Given P(E or F) = 0.52, P(F) = 0.49, and P(E and F) = 0.02, what is P(E)?

A:

Q: A lamp has two bulbs of a type with an average lifetime of 1000 hours. Assuming that we can model th...

A:

Q: The quality assurance manager is assessing the capability of a process that puts pressurized grease ...

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

Q: In a small village the sample of ages of 8 persons are given below as 26, 21, 8, 20, 16, 3, 22, 28 F...

A:

Q: A continuous random variable X has density function f(x) = K(1 – x), 0 <x < 1, where K is a %3D cons...

A:

Q: Please help. I don't know if my selected answer is correct

A: There are total (5+6+3)= 14 marbles in the bag. Among the 14 marbles, 5 are red  So the probability ...

Q: A psychologist has found that 55% of people who come to his clinic for counseling are women. 75% of ...

A: The given probability  is shown in the tree diagram Let A represents Women and A complement represen...

Q: C​onsider the following random variable Y. It takes only values of the form 1/2^k for positive integ...

A: Given,  Y is a random variable with distribution as follows  

Q: Suppose that for married couples to vote in an election, the probability that a husband will vote is...

A: Consider that A and B are defined as the event when husband and wife will vote, respectively. Thus, ...

Q: If the state’s license plates include 2 letters followed by 5 digits (ex. AB 12345), how many differ...

A:

Q: Errors in a billing process often lead to customer dissatisfaction and ultimately hurt bottom line p...

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

Q: In a survey of 2541 adults aged 18 years and older, 63% of respondents claimed that it was easier to...

A: Given information- Given problem is of binomial distribution. Probability of success, p = 0.37 No. o...

Q: In how many ways can 5 sets of numbers be picked from 50 numbers in a lottery?

A: From the provided information, Total numbers in a lottery = 50 The required number of ways of select...

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.