AND means multiply, so if probability is dependent on two things happening, then we will multiply the individual probabilities together.
1. P(A and 1) = 1/4 x 1/6 = 1/24
2. P(C and 2) = 1/4 x 2/6 = 2/24 = 1/12
3. P(B and 3) = 2/4 x 1/6 = 2/24 = 1/12
4. P(A and 4) = 1/4 x 2/6 = 2/24 = 1/12
5. P(C and 3) = 1/4 x 1/6 = 1/24
6. P(B and 2) = 2/4 x 2/6 = 4/24 = 1/6
7. P(a consonant and an odd #) = 3/4 x 2/6 = 6/24 = 1/4
8. P(a consonant and a prime #) = 3/4 x 3/6 = 9/24 = 3/8
9. P(a vowel and a 5) = 1/4 x 0/6 = 0
10. P(a vowel and a number less than 3) = 1/4 x 3/6 = 3/24 = 1/8
11. P(B and 1) = 2/4 x 1/6 = 2/24 = 1/12
Experimental probability is based on something that has already happened, or data that has already been collected.
12. P(1) = 3/30 = 1/10
13. P(2) = 8/30 = 4/15
14. P(3) = 7/30
15. P(4) = 5/30 = 1/6
16. P(5) = 3/30 = 1/10
17. P(6) = 4/30 = 2/15
Hope this helps!
Answer:
The answer is below
Step-by-step explanation:
Let Y represent the profit per day, and x represent the number of bar sold per day. Hence:
Y = 0.25x - 2
a) The mean is given as:

b) The standard deviation of y is:

It has two pairs of same angles: that means that the opposite sides are parallel: this makes it a parallelogram.
Answer and Step-by-step explanation:
Given Asin(wt + phi), we know that sin (A + B) = sinAcosB + sinBcosA. This means:
Asin(wt + phi) = Asin(wt)cos(phi) + Asin(phi)cos(wt).
Let Acos(phi) = c2 and Asin(phi) = c1 we have:
Asin(wt + phi) = c2sin(wt) + c1cos(wt)
Answer:
(a) 95% of people have an IQ score between 66 and 134.
(b) 32% of people have an IQ score of less than 83 or greater than 117.
(c) 16% of people have an IQ score greater than 117
Step-by-step explanation: