Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean u = 74 and estimated standard deviation o = 27. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. (a) What is the probability that, on a single test, x < 40? (Round your answer to four decimal places.) (b) Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x? Hint: See Theorem 6.1. O The probability distribution of x is approximately normal with u = 74 and o, = 13.50. The probability distribution of x is approximately normal with µ = 74 and o, = 27. The probability distribution of x is approximately normal with u, = 74 and o = 19.09. The probability distribution of x is not normal. What is the probability that x < 40? (Round your answer to four decimal places.) (c) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.) (d) Repeat part (b) for n = 5 tests taken a week apart. (Round your answer to four decimal places.)

Q: What is C(4.0)-C(4.1)+C(4.2)-C(4.3)+

A: The given expression is C4,0-C4,1+C4,2-C4,3+C4,4 Use the formula for the combination  Cn,r=n!r!n-r!…

Q: 3. Integer Representation (48)10 = D16 (67)8 = C D10 = C D16 (4F)16 = C D10

A: For  (48)10 Hence (48)10 = (110000)2 = (60)8 = (30)16

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Q: Use the union rule to answer. If n(A) = 9, n(B) = 10 and n(A N B) = 3, what is n(A U B)? ... n(A U…

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Q: Use the union rule to answer. If n(A) = 6, n(B) = 10 and n(A N B) = 4, what is n(A U B)? n(A U B) =

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Q: W(-4, -3), X(1, -2), Y(2, -7), Z(-3, -8) WXYZ is a

A:

Q: Decide if the following n can be expressed as the sum of squares. If it is possible then provide…

A: This problem is based on the sum of two squares theorem. We first state the theorem and then give an…

Q: 2. Find u, 3v, v-u, and 2u +5v. 3. u = (5, 3), v = (3, -2) %3D

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Q: Use the union rule to answer. If n(A) = 10, n(B) = 15 and n(AB) = 8, what is n(A U B)?

A:

Q: How many ways are there to have one puppy out of the four with pointy ears? 1 3. 4

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Q: than one answer besides C. I know it's C, but what are t

A: We have to find the expression of A.

Q: Find the values of c1, c2, and c3 so that c1 (4, –6, 2) + c2(-4, 3, 0) + c3 (-2,0, 0) = (-4, –3,…

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Q: If n(A) = 115, n(B) = 115, and n(A U B) = 140, what is n(An B)?

A:

Q: (d) At least 13 of them do not use the website.

A: It is given that the number of observations are independent of the probability of success p = 15% =…

Q: (B) = 10 and n(A N B) = 4, what is n(A u

A: n(A U B)=12

Q: a) Find  4C2. (b) List all of the combinations of {a, b, c, d} when the elements are taken two…

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Q: Use the union rule to answer the question. If n(A n B) = 8, n(A U B) = 34 and n(A) = 32, what is…

A: We know,      n(A U B) = n(A) + n(B) - n(A ∩ B)      =&gt; n(B) = n(A U B) + n(A ∩ B) - n(A)

Q: If B = 10 1 -21 1 1 1 -2 then det (B5) =

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Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

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Q: Out of 143 customers of Domino's Pizza, a total of 65 ordered pizza with onions, 77 ordered it with…

A: Given,out of 143 customers of Domino's Pizza, a total of 65 ordered pizza with onions, 77 ordered it…

Q: One-ha!f of the class wore red and one-third of it wore biue. What part of the class wore either red…

A: let the total number of students in a class be x  Therefore the part of class who wore red is 12x…

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.