The average individual monthly spending in the United States for paging and messaging services is $10.15. If the standard deviation is $2.45 and the amounts are normally distributed, what is the probability that a randomly selected user of these services pays more than $15.00 per month? Between $12.00 and $14.00 per month? Answer: P(X> 15) = 0.0239 P(12 < X < 14) = 0.1654

Q: Explain why a level of significance of a = 0 is not used. Why is a level of significance of a = 0…

A: It is given that the level of significance α = 0.

Q: The scatter plot shows the number of hours worked, x, and the amount of money spent on…

A: The scatterplot shows the number of hours worked, x, and the amount of money spent on entertainment,…

Q: The probability that none of the three bulbs in a set of traffic lights will have to be replaced…

A:

Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…

A: Given : In an experiment where 2 balls are drawn successively at random without replacement from a…

Q: Example: the joint density for the random variables (X,Y), where X is the unit temperature change…

A: Solution:

Q: office of a mail-order company .find: I. The mean ii. The median The number of order 0-12 16-18…

A: Given.

Q: You are dealt two cards from a standard deck of 52 cards. What is the probability that the two cards…

A:

Q: Construct a 95% confidence interval for the population mean, μ. Assume the population has a normal…

A:

Q: A bag of balls contains 7 black balls and 5 white balls. We randomly draw 5 balls, so what is the…

A:

Q: The density function of a continuous random variable X is shown below. Find (a) the mode. (b) the…

A: Given  A density function,we need to determine mode,median and mean. Please find the below…

Q: George invested P25,000 at 9% compounded quarterly. After 2 ½ years, the rate changed to 9.6%…

A: Solution: Here the interest rate is 9% compounded quarterly, that means 4 times a year (there are 4…

Q: Pandora, the owner of a food delivery app, knows from experience that the time needed to assemble a…

A:

Q: f(x, y) = 24 0, ≤ y ≤ 4 otherwise

A: f(x,y) = 124(6-x-y) 0≤x≤2, 0≤y≤40    OW Marginal Density Functionfx(x) = ∫xf(x,y) dyfy(y) = ∫yf(x,y)…

Q: 8- Mean, variance and third central moment of Poisson distribution are equal. O True False

A:

Q: What is the probability of having more than or equal to 6 snatching incident during a randomly…

A: By record of the local police department of Alabang, on an average, there are 3 cases of snatching…

Q: estor plans to sell the bon coupon payment is receiv

A: Par Value of Bond is $1000 Coupon rate is 7.5% Yield is 5% Time to maturity is 5 years Bond is sold…

Q: There are 3 arrangements of the word DAD, namely DAD, ADD, and DDA. How many arrangements are there…

A: Here letters are of word PROBABILITY. HERE TOTAL LETTER = 11 B REPEATS 2 TIME I REPEATS 2 TIMES

Q: 4. Assume that the life of laptop brand X is normally distributed. It was found that the average…

A: As per company guidelines i solved only first question .thank you  Given X~μμ,σAverage μ= 5 year…

Q: Find the indicated z-scores shown in the graph. Click to view page 1 of the Standard Normal Table.…

A:

Q: SHOW AND EXPLAIN ALL WORK 1.  The  table shows the results of a survey of students in two math…

A: Probability is the measure of statistical analysis. It used to understand the likelihood happening…

Q: Let X~U (0,0), then P(X > X²) is

A: Given that X~U0,θ fx=1θ-0=1θ, 0≤X≤θ

Q: 4-A ternary communication system is represented by conditional probabilities P(2r/1s) -0.1,…

A: Given :Conditional probabilities are…

Q: Red, 3 Green and 2 Blue Balls. Find the probability that the 1st is a green or a red, followed by a…

A: HERE GIVEN  TOTAL NUMBER OF BALLS =7 No of RED BALLS=2 No of Blue Balls=2 No of Green Balls=3 AND We…

Q: The ages of the population of 2,000 women are normally distributed with a mean of 35 years and…

A: Answer:- Given, the age of the population of n  = 2000 women are normally distributed…

Q: Use the Standard Normal Table or technology to find the z-score that corresponds to the following…

A:

Q: Suppose that you have 7 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

A: Given,no.of green cards=7no.of yellow cards=5Total no.of cards=12

Q: A baseball player's batting average is 0.341, which can be interpreted as the probability that he…

A: Solution  Given That, A baseball player's batting average is 0.341, which can be interpreted as the…

Q: Suppose that the transit time on a particular sub standard PNR is uniformly distributed between 48…

A: It is given that X~U(48, 85).

Q: There are 3 arrangements of the word DAD, namely DAD, ADD, and DDA. How many arrangements are there…

A: Word : PROBABILITY   total letters = 11 Here B and I repeats twice we have to find total…

Q: What is the probability that a set of n ≥ 2 has two permutations that are the reverse of one…

A:

Q: Write the binomial probability for the shaded region of the graph and find its value. Select the…

A: Solution Given That, Write the binomial probability and the normal probability for the shaded region…

Q: The random variables X and Y describe the outcome of two independent tosses with a dice Let Z = X +…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts [probability…

Q: For the statement below, write the claim as a mathematical statement. State the null and alternative…

A: Given,Claim: The mean life of the battery for a certain modle of laptop is less than 5 hours.

Q: The tree diagram represents an experiment consisting of two trials. Enter the probability to the…

A:

Q: Suppose that P(A/B) = 0.4 and P(B) = 0.5. Determine the following: P(ANB) b. P(A'ΜB) a.

A: Given data is P(A/B)=0.4P(B)=0.5

Q: 5. If f(x, y) = Find (1 0≤x≤ 1, 0 ≤ y ≤1 otherwise a. P(X > ¹/2/Y y|Y > ¹/2)

A:

Q: Find the P-value for a left-tailed hypothesis test with a test statistic of z= -1.70. Decide whether…

A: Given,Test statistic(Z)=-1.70The test is left-tailed testand α=0.10

Q: Nine percent of the population has blood type B. If we choose 18 people at random, what is the…

A: Given,n=18p=0.09q=1-0.09=0.91Let X= no.of people have blood type B in a sample of 18…

Q: What is the probability that he/she does not study any of the three languages? (b)  What is the…

A: Here AS PER POLICY I HAVE CALCULATED FIRST 3 SUBPARTS  R = Russian language  E = English Language  G…

Q: 1. What is the probability of not having a vowel in the alphabet given that it is a letter from the…

A: here ,  total available alphabets  =  26 (A,B,,,,,... ...Y,Z) vowels are A,E,I,O,U  Consonants are…

Q: Find the probability P (0<x< for f(x) = x². cos x³ 3 TU 0.235 O 0.304 O 0.908 O 0.413 O 0.678 O…

A:

Q: 2. If X and Y are two random variables, having joint density function 1 -(6-x-y) 0≤x≤ 2, 0≤ y ≤ 4 24…

A: According to our guidelines we can solve only first three sub-parts.  For remaining sub-parts please…

Q: Show the entire solution please

A: Given that  Probability of success (p)=0.70 Sample size =10  Let X denotes the number of seeds…

Q: If X-N(7,4), the P(15.364 ≤ (x-7)² ≤ 20.095) is

A:

Q: Consider the sample space S= {(-2, 4), (-1, 1), (0, 0), (1, 1), (2,4)}, where each point is assumed…

A: I find the the value of cov(X,Y) using r-software.   R-code:- x = c(-2,-1,0,1,2) y = c(4,1,0,1,4)…

Q: tudent preferred morning classes given he or she is a freshman. Round to the nearest thousandth.  Be…

A: From the above table, total number of student = 18 +13 + 14 + 12 + 16 + 18 + 9 + 18 + 6 + 5 + 3 + 12…

Q: The Z-scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.)

A: It is given that the normal curve that is bell-shaped and symmetric. The area is divided into two…

Q: Answer d and e

A:

Q: A decision-making procedure to find out whether there is a significant difference between a claim…

A: Given statement is : A decision-making procedure to find out whether there is a significant…

Q: 1. determine the likelihood function L(x: 0) = f(x₁,x2,...,xn|0) and the maximum likelihood…

A: