If the mean of a normal distribution is 50 with variance equals 2, then the median equals--

Q: 19. Battery Life The length of life (in days) of an alkaline battery has an exponential distribution...

A: Let X=the length of an alkaline battery  Given that X follows an exponential distribution.  Given λ=...

Q: Thank you in Advance for quick response. Best,

A:

Q: “ You are dealt five cards from a standard deck of 52 cards. How many of these handshave at least on...

A: You are dealt five cards from a standard deck of 52 cards. So, these hands have at least one queen a...

Q: The whole batch of calculators is rejected either if the first two chosen are both faulty if a third...

A: From the given information, the probability that it is faulty (F) is 1/20. The probability that it i...

Q: A die is weighted in such a way that each of 2, 4, and 6 is three times as likely to come up as each...

A: From the provided information, A die is weighted in such a way that each of 2, 4, and 6 is twice as ...

Q: If 10% of the time Danny makes guacamole twice a month, 35% of the time he makes guacamole once a mo...

A: Using the given information we make a table Number of times (xi) 2 1 0 probability (pi) 10%=0.1...

Q: Brandybuck Insurance Company (BIC) is deciding whether to insure the lives of those leading a quest ...

A: We make a table using the given information. Payment 0 49,518 Probability 95.5%=0.955 (1-0.955)...

Q: A surface has infinite parallel lines at distance d from adjacent lines. We have a needle of length ...

A: As given that a surface has infinite parallel lines at distance d from adjacent lines and a needle o...

Q: The "Dogs of the Dow" are the stocks listed on the Dow with the highest dividend yield. The followin...

A: Probability: The formula for probability of an event E is as follows: P(E) = (number of favorable ou...

Q: Show graph and solution

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: The probability that a randomly selected part is found to be defective during each check is the same...

A: Let X denote the number of defectives among n details. The probability of each detail to be defectiv...

Q: A bag of Skittle’s contains 14 red, 16 yellow, 8 green, and 12 orange Skittle’s. What is the probabi...

A: The number of red candy is 14. The number of green candy is 8. The number of yellow candy is 16. The...

Q: Find the expectation, variance, and standard deviation of the following probability distribution: x ...

A: Expectation=E(X)=∑i(xipi)=-1(0.3)+0(0.1)+1(0.1)+2(0.3)+3(0.2)=1  

Q: Let X have the pdf f(x)= ce 2x-1) , -e*<*. What is the value of c?. Select one: O a. 0.7979 O b. 0.4...

A: The total probability is always 1.Using that we get: ∫-∞∞f(x)dx=1

Q: please answer number 5

A: 5. Given, Probability of departing on time P(D)=0.83 Probability of arriving on time P(A)=0.82 Proba...

Q: The bar graph shows how a company divides its annual budget by department. Consider statements p and...

A: Given Data: Statement p: The company budgets the most money for engineering. Statement q: The compan...

Q: Each student at state college has a student I.D

A: The students id has 6 places. The 1st 3 places has to be filled by the digits, and last 3 places has...

Q: In a certain year, 28.9% of all light vehicles were light trucks, 28.9% were SUVS, and 42.2% were ca...

A: Let us denote L=light truck , S=SUV, C=car, D=side impact crash will prove deadly to a driverGiven t...

Q: Show that 14C5 x 5! = 14P,. %3D

A: Combination formula:Crn=n!r!(n-r)!Permutation formula:Prn=n!(n-r)!

Q: For a normal distribution with a mean of m=60 and standard deviation of s=10, find the proportion of...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Good day sir/madam. Can you please take a look at my other questions aswell that are pending, they a...

A: Total number of plus signs = 10Total number of minus signs = 2n = 12

Q: The mean number of fires in an organized industrial district is one per week. If the records of 10 w...

A: The given data: Mean, λ=1  This follows Poisson distribution. PX=x=λxe-λx! Thus the probability that...

Q: Please solve immediately.

A: Given random variable X is the time that elapses between the bell and end of the lecture. The pdf of...

Q: majoring in business administration another major taken a public speaking class not taken a public s...

A: Let D denotes the chance that the chosen student has taken a public speaking class: PD=30100PD=0.3 L...

Q: If 9 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that exactly...

A: Solution: A standard deck of 52 playing cards contains 4 kings and 52–4=48 are non-kings. Here, 9 ca...

Q: The probability that a patient recovers from a delicate heart operation is 0.9. What is the probabil...

A: Let us denote X=the number of patients having the operation surviven=sample size=7p=probability of s...

Q: Conduct a hypothesis test showing all of your steps. A community center claims that the chlorine lev...

A: As we are authorized to answer only 3 subparts for each question and that you haven't specified whic...

Q: In another game at Bonehead Casino in Reno, the player draws one card from a standard deck. If it is...

A: As given above he player draws one card from a standard deck. And the given conditions are: Card ...

Q: It has been shown that the probability of a plane arriving on time at the Albany International Airpo...

A: Let us denote X= the number of planes which arrives on time at the Albany International Airport n=sa...

Q: You pay $3.50 to play the following game:Each of two fair dice are numbered with 3 on one side, a 2 ...

A: The total number of ones on a dice is: 3 The total number of twos on a dice is: 2 The total number o...

Q: Let us consider the evets A, B and C belong to same event space. We have the following informationab...

A: The given data: A and B are mutually exclusive. A and C are not mutually exclusive event. B and C ar...

Q: A set of 12 scores has a mean of 42. Two new scores are added to the set. i) If one of the new score...

A: Let the other score is x. Given that the mean of the 12 scores is 42. So the total score is = 12×42=...

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green) a...

A: Given: Two fair dice are rolled. One is red and other is green. Objective of the question is to find...

Q: You are testing the claim that the proportion of men who own cats is larger than the proportion of w...

A:

Q: In a certain mathematics class, the probabilities have been empirically determined for various numbe...

A: Let x be a random variable denotes the number of absentees on a given day. Express the mathematical ...

Q: 2. Create a scatterplot of the data. 3. Identify a characteristic of the data that is ignored by the...

A: From the given table: Sum of X = 99Sum of Y = 100.12 Mean X = 9 Mean Y = 9.1018 X-Mx Y-My (X-Mx)2...

Q: Roll 12 dice simultaneously, and let X denote the number of 6's that appear. Find the probability of...

A: Let X be a random variable denotes the number of 6's. Here, X~Bin12,16. Calculate the probability of...

Q: 1. Invent an interesting and original1 exponential function, f(t). Assume that f(t) represents the s...

A: Given data: ft is an exponential function. (a) The general representation of an exponential function...

Q: If the sample size n is large, and the true success proportion is not too close to 0 or 1, then the ...

A: Given: n is large and the success proportion is not too close to 0 or 1.

Q: A bet on “black” in Roulette has a probability of 18/38 of winning.  If you win, you double your mon...

A: A). Given as bet on “black” in Roulette has a probability of winning is: Pwin=1838 And if you win, y...

Q: The table lists the drinking habits of a group of college students. If a student is chosen at random...

A: Given: Sex Non-drinker Regular Drinker Heavy Drinker Total Man 135 45 5 185 Woman 187 21 13 2...

Q: Two tennis players A and B play according to the following rule: the first one to win two more sets ...

A: Given, Two tennis players A and B play according to the following rule: the first one to win two mor...

Q: At a high school with 200 students, 32 play soccer, 18 play basketball. 8 students in this group pla...

A: Solution: From the given information, 32 play soccer, 18 play basketball and 8 play both sports. Tot...