Answer:
(a) 2.22
(b) 1.3986
(c) 1.183
Step-by-step explanation:
Let <em>X</em> denote the number of women who consider themselves fans of professional baseball.
The proportion of women who consider themselves fans of professional baseball is, <em>p</em> = 0.37.
A random sample of <em>n</em> = 6 women are selected and each was asked if she considers herself a fan of professional baseball.
Each woman's reply is independent of the others.
The random variable <em>X</em> thus follows a binomial distribution with parameters <em>n</em> = 6 and <em>p</em> = 0.37.
(a)
Compute the mean of the binomial distribution as follows:

(b)
Compute the variance of the binomial distribution as follows:

(c)
Compute the standard deviation of the binomial distribution as follows:

Answer:47/20 or 2.35 in decimal form
Step-by-step explanation:
Answer:
The scale reading that the chef need to see for this spice when preparing the specialty for 43 people is 0.86.
Step-by-step explanation:
In order to find the answer, you need to multiply the amount that the chef uses per serving for the number of servings. The statement indicates that the chef uses one- fiftieth of an ounce of a spice per serving and this is represented as 1/50 and you have to multiply this for 43 that is the number of people.
You can find 1/50 as a decimal dividing 1 by 50:
1/50=0.02
Now, you can multiply this value for 43:
0.02=43=0.86
According to this, the answer is that the scale reading that the chef need to see for this spice when preparing the specialty for 43 people is 0.86.
X + y = 85
2x + 4y = 218
x = 85 - y
<span>2(85 - y) + 4y = 218 </span>
<span>170 - 2y + 4y = 218 </span>
<span>170 + 2y = 218 </span>
<span>2y = 48 </span>
<span>y = 24 </span>
<span>x = 61</span>