Answer:
a) 0.383
b) 0.375
Step-by-step explanation:
a) Calculate each z-score.
z = (x − μ) / σ
z₁ = (112 − 118) / 12 = -0.5
z₂ = (124 − 118) / 12 = 0.5
Use a calculator or z-score table to find the probability.
P(-0.5 < Z < 0.5) = 0.6915 − 0.3085 = 0.383
b) 0.383 × 16 ≈ 6. So the expected proportion would be 6/16 = 0.375.
Answer: 3/2
Step-by-step explanation:
Rise over run!!!
Subtract y values, divide that by the subtracted x values.
7-4/4-2= 3/2
C........the one with square feet....that would be a result of multiplying
That would be the same as the sum of the interior angles of the regular pentagon which is 540 degrees.
Answer:
the answer D=1.44
Step-by-step explanation:
if the X= number of red cards observed in 6 trials , since each card observation is independent from the others and the sampling process is done with replacement ( the card is observed, then returned and reshuffled) , X follows an binomial distribution.
X(x)= n!/((n-x)!*x!) *p^x *(1-p)^(n-x)
where n = number of trials = 6 , x= number of red cards observed , p= probability of obtaining a red card in one try
the probability of obtaining the card in one try is
p = number of red cards / total number of cards = 12/ (12+8) = 0.6
since we know that X has a binomial distribution, the variance of this kind of distribution is
variance = σ² = n * p * (1-p)
therefore the variance of X is
variance = σ² = n * p * (1-p) = 6 * 0.6 * (1-0.6) = 1.44
