Classify the following random variable according to whether it is discrete or continuous. 1) The age of a dog in months A) continuous B) discrete Sto 2) The cost of a randomly selected orange A) Discrete ana B) Continuous » Date 3) The temperature on a summer day. A) Continuous B) Discrete Find the mean of the given probability distribution. 4) A baseball player is asked to swing at pitches in sets of four. The player swings at 100 sets of 4 pitches. The probability distribution for making a particular number of hits is given below. Determine the mean, E(X), for this PDF. Popui grbni Bivari 0. P(x) 0.4096 0.4096 0.15360.0256 | 0.0016 Α) μ-0.80 C)μ = 1.21 B) µ = 2.00 D ) μ -0.70 %3D %3D # of t ter Find the mean of the given probability distribution. mpere Shoe 1# of Chaip 09 5) Using the PDF below find the standard deviation, SD(X), for the random variable x, which represents the number of bicycles per household in a town of 1000 households. x P(x) 0 |0.125 1 0.428 2 0.256 3 0.108 4 0.083 MO guar 12 a) R-valuelc b)- R cocfA A) 1.098 B) 2.153 C) 1.543 D) 1.342 -we can ali Use the binomial formula to find the probability of x successes, where p is the probability of success in one trial. 6) n = 6, x = 3, p = 6. Exam scoc A) 0.015 C) 0.054 B) 0.032 D) 0.029 clepndant. Respanse 7) The probability that a house will develop a leak is 4%. If 39 houses are selected, find the probability that none of the houses (zero) will develop a leak. B) 0.001 D) 0.040 A) 0.204 C) 0.000 Calca Stal

Q: 7/3+4/5+1/3=

A: Given: 73+45+13 To find: We have to calculate the value.

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A: The given expression is : 10p2-p-2 To factorize the given expression.

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Q: Match the following graph to its inverse. -5-4-3-2 5 3 ↑ M T + 1 2 3 4 5

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Q: 27-3 Det A=-1 5 - 4 690

A: DetA=  2   7  -3-1  5  -4   6  9     0=+25-49   0-(+7)-1-4   6   0+(-3)-1  5   6  9…

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Q: 11C6

A: we know that,Cr=n!(n-r)!×r!nand r!=r(r-1)(r-2).....×2×1

Q: 1. Simplify. (6-2)³ - (5 +5²) O-14 -32 34 5

A: The given expression        6-23-5+52

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A: Find the probability of z occurring in the indicated region,

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A: Sol:- 3x3+5x2-x+3Domain of  3x3+5x2-x+3 :  Solution:  -∞ <x<∞ Interval Notation: -∞ , ∞ Range…

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Q: Question 16 2.01 > 3.1k + 3.5 + 5.95 Ok<-11.6: -16 -14 -12 -10-8 Ok<-2.4 A S3

A: 2.01&gt;3.1k+3.5+5.952.01&gt;3.1k+9.452.01-9.45&gt;3.1k

Q: 11V-6 11V2

A: We have given  11√-6/11√2

Q: Questions 37-40

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Q: - 5 1 4 2 1 0-3 -4 Add: -6 -1 -5 6 4 7 0. -2

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Q: 54. -2 0.

A: (54) One of the possible graph for the given sign chart of f' is,

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A: Given, The figure shows the point estimates for the population mean concentration and the 95%…

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.