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Juli2301 [7.4K]
3 years ago
13

PLZ ANSWER PLZ HELP ME

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0
The answer to the question is b
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You play two games against the same opponent. The probability you win the first game is 0.4. If you win the first game, the prob
Ilia_Sergeevich [38]

Answer:

a) No

b) 42%

c) 8%

d) X               0                 1                2

   P(X)           42%            50%         8%

e) 0.62

Step-by-step explanation:

a) No, the two games are not independent because the the probability you win the second game is dependent on the probability that you win or lose the second game.

b) P(lose first game) = 1 - P(win first game) = 1 - 0.4 = 0.6

P(lose second game) = 1 - P(win second game) = 1 - 0.3 = 0.7

P(lose both games) = P(lose first game)  × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%

c)   P(win first game)  = 0.4

P(win second game) = 0.2

P(win both games) = P(win first game)  × P(win second game) = 0.4 × 0.2 = 0.08 = 8%

d) X               0                 1                2

   P(X)           42%            50%         8%

P(X = 0)  =  P(lose both games) = P(lose first game)  × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%

P(X = 1) = [ P(lose first game)  × P(win second game)] + [ P(win first game)  × P(lose second game)] = ( 0.6 × 0.3) + (0.4 × 0.8) = 0.18 + 0.32 = 0.5 = 50%

e) The expected value  \mu=\Sigma}xP(x)= (0*0.42)+(1*0.5)+(2*0.08)=0.66

f) Variance \sigma^2=\Sigma(x-\mu^2)p(x)= (0-0.66)^2*0.42+ (1-0.66)^2*0.5+ (2-0.66)^2*0.08=0.3844

Standard deviation \sigma=\sqrt{variance} = \sqrt{0.3844}=0.62

8 0
3 years ago
A dermatology patient is treated with ultraviolet light having a wavelength of 375 nm. What is the wavelength expressed in centi
sergeinik [125]
1 nanometer = 1 * 10^9 meters

so 1 nanometer =  1 * 10^7 centimeters

375 nanometers =  3,75 *  10^5 centimeters
4 0
3 years ago
Read 2 more answers
4n-3=-2n+9 What is the value of the variable 'n'?
julsineya [31]
4n - 3= -2n + 9
add 3n to both sides

4n= -2n +12
add 2n to both sides

6n= 12
divide both sides by 6

n= 2

Check:
4n-3=-2n+9
4(2)-3= -2(2)+9
8-3= -4+9
5=5


Hope this helps! :)
7 0
3 years ago
Samantha received a loan from the bank for $4,500. She plans on paying off the loan in 4 years. At the end of 4 years, Samantha
ollegr [7]
4500 x 4x=900
4x=0.2
x=0.05
7 0
2 years ago
What is the interval notation for the compound inequality?
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7 beacuse 7 is bigger then 3 I think I took this quiz but got a bad grade
6 0
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