Ned rides his bike 6 miles to the store and 6 miles back. The graph shows the relationship between the distance Ned is from home
at any time throughout his trip and the distance he spends riding the bike. Which statement is true about Ned's ride?
A. Ned's speed is constant for the entire ride from 0 to 90 minutes
B. Ned's speed is constant on the interval from 0 to 60 minutes.
C. Ned's speed between the interval from 20 to 40 minutes is the same as his speed over the interval 50 to 90 minutes.
D. Ned's speed over the interval from 20 to 40 minutes is faster than his speed over the interval from 0 to 20 minutes.
A. Ned's speed is constant for the entire ride from 0 to 90 minutes
B. Ned's speed is constant on the interval from 0 to 60 minutes.
C. Ned's speed between the interval from 20 to 40 minutes is the same as his speed over the interval 50 to 90 minutes.
D. Ned's speed over the interval from 20 to 40 minutes is faster than his speed over the interval from 0 to 20 minutes.
1 answer:
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Answer:
He wont foul out with probability 0.9093
Step-by-step explanation:
The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.
Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus
As a consecuence, he wont foul out with probability 0.9093.