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
Answer:
She will drive 272 miles in 4 hours.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Do u see any similarities between the numbers? Both 12 and -4 have a variable(N). 8 and -7 dont have a variable, so u have to calculate them individually.
One thing to remember is just because there is a minus sign(-) or a plus sign(+) does not mean its addition or subtraction. its the value of the number. the sign to the left of the number is its value. so left of 12 is plus(+), so its a positive. left of 4 is a minus sign(-) so its a negative 4. lastly, left of 7 is minus sign(-), which means its negative 7. now u add.
lets add the variables first:
12n + (-4n) = 8n
add the regular numbers:
8 + (-7) = 1
so its 8n + 1
Answer:
-279
Step-by-step explanation:
a=64
d=t2-t1=57-64=-7
t50=a+49d=64+49×(-7)
=64-343
=-279
