Answer:
Expected number of guests is 100.4.
Step-by-step explanation:
It is given that there are 161 guest if there is a heavy snow fall.
Also, the probability for a heavy snow fall is 0.40.
Therefore, P(X = 161) =0.4.
It is also given that there are 60 guests if there is a light snow fall.
The probability for a light snow fall is 1 - 0.4 = 0.6.
Therefore, P(X = 60) = 0.6.
Expected number of guests = (161)P(X = 161) + (60)P(X = 60)
= 161(0.4) + 60(0.6)
= 64.4 + 36
= 100.4
Answer:
Tess is correct
Step-by-step explanation:
First off, to find out the new discounted price without the sales tax, you multiply $24.50 by 15% (0.15). This gives you $3.68. You then subtract the $3.68 from $24.50. You get $20.82. To find the total with sales tax you then multiply the $20.82 by 10% (0.1). You add the discounted price with the sales tax and get the conclusion that they have enough money for the book.
Answer:
461.58
Step-by-step explanation:
Please confirm if this was correct
Answer:
a) Expected amount of the gambler's win = $0.209
b) SD = 2.26
c)P (X >1) = P(z >0.35) = 0.36317
Step-by-step explanation:
The probability of winning, p = 12/38 =6/19
Probability of losing, q = 1 -p = 1-6/19
q = 13/19
Win amount = $5
Loss amount = $2
a) Expected total amount of win = ((6/19)*5) - ((13/19)*2)
Expected total amount of win = 1.579 - 1.369
Expected amount of win, E(X) = $0.209
b) Standard Deviation for the total amount of the gambler's win
E(X²) = (6/19)*5² - (13/19)*2²
E(X²) = 5.158
SD = 2.26
c) probability that, in total, the gambler wins at least $1.
P(X >1)
μ = E(x) = 0.209
z = (1-0.209)/2.26
z = 0.35
P( X >1) = P(z >0.35)
P(z >0.35) = 1 - P(z <0.35)
P(z >0.35) = 1 - 0.63683
P(z >0.35) = 0.36317