The average number of cycles of charging of rechargeable batteries manufactures in a certain factory is 485 with a standard deviation of 32. Assuming a normal distribution, find the probability that a battery chosen in random will have 450 to 550 cycles? a. 0.824 b. 0.848 c. 0.482 d. 0.842

Q: A and B are two events such that P(A) = = 0.4 and P(AB) = 0.2 Then P(An B) is equal to a. 0.4 b. 0.6…

A: Given : P(A) = 0.4 and P(A n B) = 0.2

Q: (1) P(X = 2) P(2 < X < 4).

A: here given ,  Cumulative Distribution of x for Cumulative Distribution  p(X ≤ x) = F(x)

Q: The water content of soil from a borrow site is normally distributed with a mean of μ = 14.2% and…

A:

Q: What is the probability that difference in the two-sample means s X₂-X₁ is at least 15 hours? Assume…

A: It is given that For old process, mean = 5000, SD = 40, sample size n1 = 16 For improved process,…

Q: During the summer in a particular city the probability of getting a thunderstorm in the afternoon is…

A: Here from the given information, Let,    P = Getting a thunderstorm in the afternoon Then P( P ) =…

Q: Q3/ The probability that a consumer will rate a new antipollution device for cars What are the…

A: Given: Rate very poor poor fair good very good Excellent Probability 0.07 0.12 0.17 0.32 0.21…

Q: Determine whether the distribution represents a probability distribution. X 3 7 10 13 P(X) 0.1 0.3…

A: The provided information is  X 3 7 10 13 P(X) 0.1 0.3 -0.7 0.8   Then,…

Q: Q3/ The probability that a consumer will rate a new antipollution device for cars What are the…

A: Given: Rate Very poor Poor Fair Good Very Good Excellent Probability 0.07 0.12 0.17 0.32 0.21…

Q: P(-1<Z<1)= round to four decimal places

A: Given that P(-1&lt;Z&lt;1)

Q: If E denotes the expectation the variance of a (random variable X is denoted as (E(X))^2 - E(X

A: Given: If E be the expectations then varience of random variable x  Var(x)= (E(x))^2-E(x)  a); True…

Q: Find the entropy of the source producing the following messages: Px1 = 0.25, Px2 = 0.1, Px3 = 0.15,…

A:

Q: Alonzo must choose a size, a flavor of ice cream, and a topping for his ice cream dessert. There are…

A: a) Total outcomes are 12.

Q: he lifespan (L) of each of 2000 valves is measured and given Calculate the probability that the…

A: Given Information: Lifespan (hours) Number L &lt; 400 200 400≤L&lt;600 230 600≤L&lt;800 931…

Q: mean of 0.4 micrometer and standard deviation of 0.15 micrometer. The line width of for…

A: Followings are the Explanation of the question Use the Normal approximation method μ=  0.40 σ=0.15…

Q: rovide an appropriate response. Use the Standard Normal Table to find the probability. An airline…

A:

Q: 5A+2B. The variance of T is 6

A: The random variables A and B have variances 0.2 and 0.5 respectively. Let T= 5A+2B.

Q: What is the number of distinct arrangements of all the letters in the word CELLPHONE

A: Useful formula: n!=n*(n-1)*(n-2)*(n-3)*..........*3*2*1

Q: a. P(Z -1.76). P(Z > 2.42). b. C.

A: We will use Standard Normal table to find the required probabilities. Note : According to our…

Q: For the given probability distribution, X f(x,y) 1 2 5 0.25 0.2 y 10 0.2 0.15 15 0.15 0.05 Determine…

A:

Q: One day at the dog park, John counted 135 dogs, of which 47 were off leash playing. Of the 47, 10…

A: Given : Total number of dogs=135 Off leash =47 Leash=135-47=88 Retriever=35 Not retriever…

Q: .Find the standard deviation of -2, 7.2, 6.9, -10.4, 5.3 6 .a O 6.9 .b O 7 6.78 .CO .d O

A:

Q: A source produces dots. And dashes - with .P(dot)=0.65. Find the entropy 0.97370 .a O 0.934 .b O…

A: Entropy is used to measure the similar value of the sample size. Entropy is will be zero when they…

Q: In a sample of 5 courses with no support course the average final of 200 students was 70% with a…

A: As per our guidelines we are suppose to answer only one question. Given,sample size(n)=200sample…

Q: 2. For an exam given to a class, the students' scores ranged from 35 to 98, with a mean of 74. Which…

A: Given:For an exam given to a class the students scores ranged from 35 to 98 with a mean of 74

Q: 10) A card is drawn at randum from a pack of 52 Card What is the probability that the card is king…

A:

Q: (a) Identify the claim and state Ho and Ha Ho: P = 11.7 H₂H # 11.7 (Type integers or decimals. Do…

A: HERE  GIVEN ,  An oceanographer claims that the mean dive duration of a North Atlantic right whale…

Q: 11. Manfred is considering job offers of the same type of sales position from two retailers with…

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

Q: ) Suppose that two balls are randomly and independently selected in succession with replacement from…

A: Given that,  Two balls are selected from a box containing 4 similar balls numbered 5,10,15,20 We…

Q: determine the 95% confidence interval or range in an observed score of 86 if SD is 5.8 and the…

A: 95% Confidence interval is 79.4934 and 92.5066 Explanation: Data given, r=0.82 X=86 SD=5.8 Standard…

Q: : E1 occurs and E2 occurs, find probability of E3

A: here given  When Rolling Die  E1 = event that outcome is 1,2,3 or 4 E2 = event that even number…

Q: 04: A group of 30 manufactured of concrete pipes contain 8 defective pipes and A sample of 5 pipes…

A:

Q: Q2/suppose there were six kinds of toppings that one could order for a pizza. How many combinations…

A: Here given there were six kinds of toppings that one could order for pizza  Here use counting…

Q: Q6/ Find the probabilities that a random variable having the standard normal distribution will take…

A: Required probability is P(0.87&lt;Z&lt;1.28)

Q: A continous random variable x has p.d.f.,then a. f(x) >=1 b. f(x) >==0 O C. 0=;0

A: In above question we will talk about it is true or not for probability density function(pdf)

Q: A scheme of random number generator is described as follows. First, one generates a normal random…

A:

Q: Primary and secondary routes connecting two computers need to be chosen. Two primary routes are…

A: The routes are primary and secondary.

Q: You are the regional manager of a five-star hotel chain known for its commitment to high-quality…

A: a) From the given information, Customers Complaints Percentage 1000 8 0.008 1000 11 0.011…

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

A: The probability a machine has a lifespan of more than 5 years (p) is 0.8.

Q: 4. In one of the biggest schools in Metro Manila, 80% of their high school students are known to…

A: Given Information: 80% of the high school students are known to have come from their elementary…

Q: b) If we have the following mass function: f(x) = x/6, x = 1, 2, 3: In Find 1. V(x) 2. V(4x) 3.…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: 4. At the same carnival, another game is played by flipping the same weighted coin in #3 and rolling…

A:

Q: Q3: The effective life of a component used in a jet-turbine aircraft engine is a random varia 5000…

A: n1=16, n2=25, population mean μ1=5000, Population mean μ2=5030, Population standard deviations…

Q: The probability that data are entered incorrectly into a field in a database is 0.008. A data entry…

A:

Q: 1) Find the two-step transition matrix

A: here given Transition Matrix of markov chain

Q: 20. Judgmental sampling is a form of convenience sampling in which the population elements are…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12 ,0.15, 0.23,…

A: The standard deviation can be calculated by taking square root of the variance of X. And the…

Q: The statement represents a claim. Write its complement and state which is Ho and which is HA- μ =…

A: From the provided information, The statement represents the claim which is µ = 8.2

Q: 1. At the horse races, the chances of a horse winning is expressed as odds against. In the first…

A: Dear student according to the guidelines we solve only first question when multiple unrelated…

Q: Hannah is a student and an online seller. She sells Personal Preventive Equipment (PPE) like face…

A: Note: If the post contains multiple subparts, only allow to do first three subparts as per…

Q: Suppose you roll a special 6-sided die. What is the probability that the number rolled is a "1" OR a…

A: