For two events a and b it is given p(a)=0.30 P(b)=0.65and p(a or b)=0.74 Calculate P(a and b)

Q: Each day Donna and Mary toss a coin to see who buys the other person coffee ($1.31 a cup). One…

A: Given Information: Each day Donna and Mary toss a coin to see who buys the other person coffee. The…

Q: Q4:Let X be a continuous random variable with distribution ==kif 0≤x≤8 f(x): elsewhere 1. Find P (2…

A:

Q: What would be the probability of an event 'G' if H denotes its complement, according to ?the axioms…

A: Given: G =H denotes its compliment Compliment rule : P(Ac)=1-P(A) Here A is an event.  Ac =…

Q: Six tissues are extracted from an ivy plant infested by spider mites. The plant in infested in 19%…

A:

Q: The following table shows the number of students in three different degree programs and whether they…

A: Given:   Undergraduate Graduate Total Business 150 50 200 Engineering  150 27 175 Art &…

Q: Computer keyboard failures are due to faulty electrical connects (6%) or mechanical defects (94%).…

A: we draw tree diagram

Q: 1) How many 4 digit numbers exist, with at least 1 repeating digit? (example 2218, 3333, 3555, 6699)

A: The objective is to find the number of 4 digit numbers that can be formed with at least 1 repeating…

Q: The probability a component is acceptable is 0.8. Five components are picked at random. What is the…

A:

Q: Q2: Suppose that the j.p.d.f.,ƒ (x, y) = {(x² + y), 0<x< 1, 0 <y<1 zero elsewhere. Find: a- The…

A:

Q: (a) P(0 ≤Z≤ 2.87) (b) P(0 ≤ Zs 2) (c) P(-2.10 ≤ Z≤ 0)

A: Given: Z is a standard normal variable. Required: To find the probabilities

Q: A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head…

A: Probability: A probability informs the happening of a trial in a study or observation. For example,…

Q: An article reported that 7 in 10 auto accidents involve a single vehicle (the article recommended…

A: The probability that an auto accident involve a single vehicle is (p) = (7/10) = 0.70.  Number of…

Q: Event A: No even numbers on the last two rolls Event B: Exactly one odd number Event C: An odd…

A: Given: A number cube is rolled three times. There are 8 outcomes in total The objective is to check…

Q: In series, teams A and B play until one team has won 4 games. If team A has probability 2/3 of…

A:

Q: Something is easier to forecast if: Group of answer choices no answer is correct the future is…

A: Forecast is the technique that used to predict the variable based on the past variable. Hence, it is…

Q: A function randomly generates 4-digit decimal numbers in the range of 0000 to 9999 (all have the…

A: Given that, A function randomly generates 4-digit decimal numbers in the range of 0000 to 9999 (all…

Q: tes 4-digit decimal numbers in the range of 0000 to 9999 (all have the same chance)   What is the…

A: 4 digit decimal numbers 0000 to 9999 Sum of the number should be divisible by 5

Q: The number of customers arriving per hour at a certain automobile service facility is assumed to…

A: Givenλ=7 customers will arrive per hour

Q: Samples of rejuvenated mitochondria are mutated (defective) in 2% of cases. Suppose 13 samples are…

A: Given that        p(samples mutated)=2%p(samples mutated)=0.02…

Q: Show that if AB={0}, then P(A)≤P(B).

A: Given that

Q: (a) How many four-element DNA chains are possible? DNA chains (b) How many n-element DNA chains are…

A: 4 Possible bases: Thymine Cytosine Adenine Guanine

Q: According to PSA, the probability of a randomly selected 90-year old Filipino survives for at least…

A: given data  probability that a randomly selected 90 year old filipino survive for atleast another…

Q: For the remainder of this question, we will consider one of the world's most popular video games,…

A: From the provided information, Sample size (n) = 9 Probability of taming the wolf with each attempt…

Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

A: Given: Sample size (n) = 10 The probability that a machine has a lifespan of more than 5 years is…

Q: (c) P(-2.70 ≤Z≤ 0) (d) P(-2.70 ≤Z ≤ 2.70) (e) P(Z < 1.46)

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

Q: Exercise 2.9.54. [A] The exchange rate between euros and U.S. dollars is 1 € = $1.23. (a) How much…

A: Since 1 EUR = 1.23 USD, 100 EUR = 123 USD

Q: Question 1 Answer the following question on a paper and scan it as pdf: Parent 50 cases 30 in class…

A: Note: As per the company guidelines first 3 questions are solved, please repost the question by…

Q: Let X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6)…

A: The following information has been given: We have given that X is a discrete random variable. P(X =…

Q: Amy tosses a fair seven-sided die 4 times.  What is the probab

A: Given information: Amy tosses a fair seven-sided die 4 times. The total number of outcomes is,…

Q: The move to online instruction that was forced on universities by COVID has introduced considerable…

A: Given information: x P(x) 200 0.1 250 0.2 300 0.4 350 0.15 400 0.15 Sum 1

Q: The analysis of results from a leaf transmutation experiment (turning a leaf into a petal) is…

A:

Q: ordinary deck. Find the probability that the second is not a face card, given that the first is a…

A: here given  two cards are selected from ordinary deck of cards ,without replacement. there are total…

Q: Let Z be a standard normal random variable and calculate the following probabilities, drawing…

A: P(0≤Z≤2.09)=? P(0≤Z≤2)=? P(-2.10≤Z≤0)=? Note: According to Bartleby guidelines expert solve only one…

Q: Suppose A and B are dependent events and P(B | A)=0.4, P(ANB)=0.1, P(B')=0.62. Find P(A U B).

A: Consider that A and B are two dependent events.

Q: In a city, 40% of the population is poor, 25% people are rich, and 35% are middle class.find the…

A: Given Information: 40% of the population is poor  25% people are rich 35% are middle class.

Q: License plates consist of 3 letters followed by a 3-digit whole number. How many different license…

A: Given information: License plates consist of 3 letters followed by 3-digit whole numbers.

Q: According to PSA, the probability of a randomly selected 90-year old Filipino survives for at least…

A:

Q: Verify that the following function is a cumulative distribution function. 0 0.5 1 F(x) = Round your…

A: Given cumulative distribution function is, Fx=0, 0&lt;10.5, 1≤x&lt;31 3≤x Let us check whether the…

Q: Prove Γ (n) = (n-1)! where n ∈ ℕ

A: Concept: The proof for this gamma integral will be done using mathematical induction

Q: 4.25 A local hospital estimates that the number of patients admitted daily to the emergency room has…

A: given data x = No. of patients admitted daily λ=4 p(x=X) = e-λ(λ)xx!     - poision distribution

Q: i want to repost and answet d & e

A:

Q: In a recent survey of 47 science teachers, 32 said the school-provided textbooks were adequate. Find…

A: Survey of 47 teachers N=47 n=32 Sample proportion = (n/N)  We have to calculate  Standard error of…

Q: A company wants to evaluate its attrition rate, in other words, how long new hires stay with the…

A: Given:

Q: The mean height of American men between 20 and 29 years old is 69 inches, and the standard deviation…

A: Given: Mean(μ)=69 inchesstandard deviation(σ)=3 inchesx =6 feet or more    =6×12    =72 inches or…

Q: 7. A researcher observes and records the behaviors of children on the playground before lunch and…

A: A researcher observes and records the behaviors of children on the playground before lunch and after…

Q: If A and B are independent then P(A and B)= P(A/B).

A: We know, if A and B are independent then,  P(A|B) = P(A) and, P(B|A) = P(B) And, P(A ∩ B) = P(A|B)…

Q: A function randomly generates 4-digit decimal numbers in the range of 0000 to 9999 (all have the…

A: Answer :- A function randomly generates 4-digit decimal numbers in the range of 0000 to 9999.…

Q: d) How many different boards can be formed that include a president, a secretary, a treasurer and a…

A: Given : Total number of students =10 Number of roles assigned in part (d) is 4 (president,…

Q: flx) = kx² (1-x) {kx 04 x 41 Mervise ther If the) is a p.d.f, Fund k b) Find the mean, mediany mede.

A:

Q: 8. In a recent poll, 23% of the respondents supported candidates A, 19% supported candidate B. 12%…

A: Given: P(A) = 0.23 P(B) = 0.19 P(C) = 0.13 P(undecided) = 0.45 n(total) = 7 n(A) = 2 n(B) = 2 n(C) =…