simple random sample of sizen=14 is obtained from a population with u= 64 and o= 19. What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of x p) Assuming the normal model can be used, determine P(x<67.5). c) Assuming the normal model can be used, determine P(x2 65.6). a) What must be true regarding the distribution of the population? O A. The population must be normally distributed. O B. Since the sample size is large enough, the population distribution does not need to be normal. O C. The sampling distribution must be assumed to be normal. O D. The population must be normally distributed and the sample size must be large.

Q: When two births are randomly selected, the sample space for genders is BB, BG, GB, and GG. Assume…

A: It is given that the sample space is {bb, bg, gb, gg}.

Q: Either A(1, 3, -7) and B(0, 2, -4). What is the exact size of AB?

A: The given problem is to find the exact size of AB where given A(1,3,-7) and B(0,2,-4). We have to…

Q: Q2. Solve: a) x 3 5 b) 4 4 2

A: To solve:

Q: Complete

A:

Q: EVALUATE -3 2 c) √² √² 4 0 √16-12 drdy

A:

Q: 7. Choose all that apply! If x² +2x-3 = 0, then 2x+ 4 could be? a) -2 b) 2 c) 6 d) 8 e) 10 f) -6

A:

Q: a=4    -10 b=-2       1 c= -4        6 a) Work out a + b + c b) work out a+2c…

A:

Q: Arsenic occurs naturally in some ground water and can be toxic. A mean arsenic level of μ=9 parts…

A: Given that α=0.005. Hence, the level of significance is 0.005.   The appropriate Null and…

Q: Which number is NOT in the solution set of x + 5 > 10?7 A) 4 B) C) D) 12

A: Given : x+5&gt;10

Q: 35x 1) 10x* 14p + 2 2) 6 7 A) &x 7p+1 B) 2x B) p+3 A) 3 8x 7x D) 2 D) 3p -2

A:

Q: 4) Solve for x. 5x+25 3x+4 3x-1- Your answer

A:

Q: solve

A: a) 141​b) 1544​c) 2411​d) 34​

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.