B. Directions: Consider the random variable T. Find the following probabilities. 1. P(-to.025
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Q: legitimate probability distribution
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- Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.20. A sample of 38 U.S. adults is chosen. Use Excel as needed. (a) Is it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure? If so, find the probability. If not, explain why not.The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07, 0.36, 0.21, 0.19, 0.10, 0.07 Calculate P(x >= 3.0) a. 0.57 O b. 0.19 O C. 0.83 d. 0.47 OAnswer part a through d. Suppose X is normally distributed random varible with u= 15 and o=2. Find each probability.
- Let X be a random variable with a mean of 20 and variance of 4. Then E(3X2 -3 X +2) is а. -46 O b. 1154 O c. 1142 O d. 1526Fill in the P=Xx values to give a legitimate probability distribution for the discrete random variable X , whose possible values are −4, −3, −2, 5, and 6. ValuexofX P=Xx −4 0.23 −3 0.19 −2 0.30 5 6II. Determine whether each of the following can be used to represent the probability distribution of a random variable X. If you answered yes, explain why. 1. P(X) = for x = 1, 2, 3, ., 8 2. P(X) = for x = 1, 2, 3, .., 9 3. P(X) for x = 1, 2, 3, 4 3-* 12 %3D 4. P(X) for x = 1, 2, 3, 4 25x 5. P(X) = for x = 1, 2, 3, 4, 5
- The probability distribution for the random variable,x, is x: 2, 2.5,3.0,3.5,4.0,4.5 and P(x):0.07,0.36,0.21,0.19,0.10,0.07 Calculate P(x <= 3.9) a. 0.19 O b. 0.57 C. 0.83 d. 0.47 O о OA deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 What is the probability that zero blue cards are drawn?The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Find the mean of the probability distribution. Houses Sold (x) Probability P(x) 0 0.24 1 0.01 2 0.12 3 0.16 4 0.01 5 0.14 6 0.11 7 0.21 μμ = 3.50 μμ = 3.35 μμ = 3.60 μμ = 3.40
- Answer Letter D only pls.Let Y be a random variable with the following probability distribution: p(y) = y/6 for y = 1; 2; 3 and (0 otherwise). Write the probability distribution for Y in the form of a table. Find E(Y), V(Y), and E(Y 3 − 1).Let the variable Z stand for a standard normally-distributed variable. Find these probabilities a. p (z < 1.76 ) b. p ( -2.05 < z < .66 ) C. p ( z > -1.62 ) Then, find these z values that satisfy the following conditions a. 87.29% of the area under the distribution curve is to the left of it b. 67.72% of the area under the distribiution curve lies to the right of it
