7. If X has a binomial distribution with the parameters n= 100 and 0 = 0.4. That is the probability distribution is given by los-x 6.). x-0, 1, 2, 3..100 /00 Nex: 10,0.4) () (o45 G () Show that b(x; 100, 0.4) is a probability distribution. (i) Show that E(X)= 40

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A: We have the data given as,   Stars Stripes Dots Total Red 8 15 12 35…

Q: Studying the virus, you determine some interesting facts about the virus. One of the things that you…

A: 9) The average age in the context of the problem can be obtained as:

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A: When two dice are rolled, the sample space of Sum  would be : Total outcomes  = 36 Let X denotes…

Q: The probability distribution of the random variable X represents the number of hits a baseball…

A: The number of hits for 25 games is as follows:0112123333211325112234102

Q: Kennel 1: 6 Labradors, 2 Huskies, 3 Great Danes Kennel 2: 5 Great Danes, 2 Labradors, 4 Huskies…

A: Given problem Given that   Kennel 1 : 6 Labradors, 2 Huskies, 3 Great Danes Kennel 2 : 5 Great…

Q: the moment generating function of the random variable is unic true false

A:

Q: COUNTING TECHNIQUES - Statistics and probability 1) In how many ways would we distribute 3 $50…

A: 3 coin of $50  4 coin of $100

Q: Topic: Probability using Permutations and Combinations Compute the probability of randomly drawing…

A: no.of Ace cards=4no.of king cards=4Total no.of cards=52

Q: Subject: Optimization Engineering Please solve this problem

A:

Q: Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs Probability…

A: We have given that  Probability mass function.  Dogs(X) 0 1 2 3 4 5 Probability=p(x) 0.668…

Q: Income ($1000s) Household Size Amount Charged ($)                 54 3 4,016                 30 2…

A: Consider the given data: Income Household Size Amount Charged 54 3 4,016 30 2 3,159 32 4…

Q: You rarely win in chess against your friend. The probability that you win any one game, independent…

A: According to the provided information, n=50 p=0.04 Condition for normal approximation, np≥10, and…

Q: The table below gives data purporting to show the percentages of men and women whose daily…

A: Pie chart is a visual representation of categorical data.

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A:

Q: Dat

A:

Q: Consider the experiment of throwing 2 dice and define Y as the V.A that records the sum of the…

A:

Q: The amount of time it takes Sally to do her Math Practice Quiz is uniformly distributed between 5…

A: Let X be the amount of time takes Sally to do her Math Practice Quiz follows Uniform distribution…

Q: BU (A) The probability that they are both Democrats is approximately. (Type a decimal. Round to…

A: Probability is the measure in the statistics. It is a measure used to determine the uncertainty…

Q: Meaning of probability sampling and examples

A: Given Information: Meaning of probability sampling and examples

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A: We want to find the 5 number  Summary.  We want to find  the shape of the distribution.

Q: Observation no Current state product weight (g) Product weight after using the new machine (g) 99…

A: Given: n = 10 Formula Used: Test statistic t = X-μSn X = 1n∑Xi S = ∑Xi-X2n-1 t-test for two…

Q: Discrete probability distribution: What does a probability distribution demonstrate/ represent?

A: A probability distribution shows the expected outcomes of possible values for a given data…

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A:

Q: es The contingency table below shows the results of a survey of video viewing habits by age. Video…

A: Here the given table is :-We have to find probabilities.Using formula,

Q: In iTech marathon competition, 16 students registered for participation. The students are divided…

A: This question is based in the rule that total probability is always 1.

Q: Sample space ={1, 2, 3, 4, 5, 6}   P(1)=P(2)=P(3)=P(4)=1/6, p(5) = 3/12, p(6) = 1/12 Let…

A: Probability is an important concept in a probability discover by Laplace, James Bernoulli, etc. They…

Q: The distribution law of random variable X is given: X₁ -3 -1 1 3 P₁ 0.1 0.4 0.4 0.1 Using properties…

A: E(X)=∑X.P(X)E(X)=(-3×0.1)+(-1×0.4)+(1×0.4)+(3×0.1)E(X)=0

Q: Meaning of probability sampling and examples It has four types wid advantages and disadvantages…

A:

Q: Discrete Probability Distributions A group of auditioning participants has a split of 40%:60% rookie…

A: Binomial distribution is given by

Q: Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

A: First we will write Inclusion-exclusion principle for two sets.

Q: Chart Based Probability Section Rubber Balls in a Box Setup Stars Stripes Dots Red 8 15 12 Blue 7 3…

A: X = The color on the rubber ball, Y = The pattern on the rubber ball.

Q: Doctorates The following table shows the annual number of PhD graduates in a country in various…

A: a. y = 8385.714 + 92.857x, r = 0.850b. The number of social science doctorates has been increasing…

Q: A phenomenon is observed many, many times under identical conditions. The proportion of times a…

A: The chance of occurrence of an event is termed as a probability. It is also known as proportion.

Q: Counting and Probability   1. Come up with a description of two real-world events—one independent…

A: We will give two real life examples.

Q: Probability S = {0, 1,2, 3, 4, 5, 6, 7} and these two events: A {1, 2, 3}, and B = {1,3,5, 6, 7}…

A: