FORMULATE TWO (2) SITUATIONAL PROBLEM OF REAL LIFE PROBLEMS INVOLVING CONCEPTS OF SAMPLING DISTRIBUTION. Examples of information to be collected: A. Height B. Weight c. Daily Allowance D. Monthly Income E. Hours of Sleep, etc Examples: 1. What is the probability that a random sample of size 5 out of 15 identified people will have a mean weight of 50 kilos or more? 2. What is the probability that a random sample of size 8 out of 15 identified people will have an average of 6 to 10 hours of sleep in a day?

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A: Given  X~Bin(n=98, p=0.06)   Result: Var(X)=np(1-p) Var(aX+b)=a2V(X)

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Q: A randomly selected card from a standard 52-card deck is noted. The card is then replaced, the deck…

A: It is known that Total number of cards in a deck = 52 Number of Aces = 4

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Q: The following table shows the results of a survey of authors by a (fictitious) publishing company.…

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Q: Oscar currently has 43 tulips in his yard. Each year he plants 8 more. (a) Which of the following is…

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Q: If X~ Bin(66, 0.11), what is the expected value of (54X+29)? O a. = 7.26 O b. = 21170.16 O c. None…

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Q: 17. A collection of nickels and quarters totals $3 and 40 cents. The total number of coins is 24.…

A: Elimination methods are used to determine the value by eliminating them. The subsitutation method…

Q: A teacher has 30 students in his class he has been given funds to take 5 students to the museum of…

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A: We have given that A = 9000  r = 17% = 17/100 = 0.17

Q: Three cards are drawn from a deck without replacement. What is the probability that they are not all…

A: GivenTotal no. of cards in a deck = 52No.of cards with out kings = 52-4=48     (since there 4 kings…

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Q: Suppose that X₁, X₂X100 is a random sample from a normally distributed population with mean μ = 25…

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Q: IMPORTANT NOTE: As per the recommendations in the Mid-Summer Evaluations, the vast majority of you…

A: Given Information: Mean μ=69 Standard deviation σ=10 The test scores follows a Gaussian (normal)…

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A: Here for cumulative distr of x as F(x). And p(X &lt;=x ) is represented by F(x)

Q: The life span of a type of automatic washer is normally distributed with the mean of 3.8 years and…

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Q: A major traffic problem in Baguio City can be seen in the intersection of Abanao and Maharlika. Let…

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Q: included in the confidence interval range, Since the we can conclude that there is the manufacture's…

A: Here given  Confidence level = 90% Significance level = 10% Confidence interval  for mean is 275.78…

Q: 3. Answer the following, related to tossing a biased coin 8 times, where the probability of a HEAD…

A: Given information:- PHead=25PTail=1-PHead=1-25=35 Number of times coin is tossed = 8

Q: In 256 sets of 12 tosses of a coin, in how many cases one can expect 8 heads and 4 tails.

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Q: A standard piano keyboard has 88 different keys. Find the probability that a cat, jumping on 9 keys…

A: Given A standard piano keyboard has 88 different keys. a cat, jumping on 9 keys in sequence

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Q: The second angle of a triangle is 35 more than the first angle. The third angle is three times the…

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Q: A bacteria culture is started with 250 bacteria. After 4 hours, the population has grown to 764…

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Q: 30. The mean of Binomial distribution is 3 and the variance is MRI+ (i) the value of n (ii) p (x ≥…

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Q: If the probability of the Seattle Mariners winning the World Series is 2/40 part a. What are the…

A: The probability of the Seattle Mariners winning the World series is 2/40. Let m=2 and n=40.

Q: Find the unknown angle measures. X = 23 y = 26 28 Drawing is not to scale. 20

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Q: A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the…

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Q: You are conducting an experiment where a bucket is filled with 11 fluffy hamsters and 7 spiky sea…

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Q: A researcher claims that some particular bacteria with an average life span of 10 hours will live to…

A: Given Information: Sample size n=32 Sample mean x¯=14 Standard deviation s=4.2 Hypothesized value of…

Q: 3 coins are tossed and two six-sided dice are rolled. how many possible outcomes are there?​

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Q: A radioactive substance has a decay rate of 0.079 per minute. How many grams of a 200 gram sample…

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