Answer:
87.29%
Step-by-step explanation:
Given: Mean= 68.8 inches
Standard deviation= 2.8 inches
Now, finding the percent of the men in the sample were greater than 72 inches.
We know, z-score=
z-score=
⇒ z-score=
∴ z-score= 1.14
Next, using normal distribution table to find percentage.
Coverting 0.8729 into percentage=
We get the percentage as 87.29%
Hence, 87.29% of the men in the sample were greater than 72 inches.
Answer:
The experimental probability that terry will win their next game is
Step-by-step explanation:
While theoretical probability is the ratio of the number of favourable outcomes to the total number of outcomes, the experimental probability is the ratio of number of times the event is occurring to the total number of trials of the experiment.
Out of 5 games jay wins 3
Now the experimental probability that terry will win their next game
= 1 - Probability of Jay winning the game----------------------(1)
Probability of Jay winning the game =
=> ----------------------------------------------------(2)
Substituting (2) in (1)
=> 1 -
=>
=>
Answer:
a) 90.1
b) $35.6
c) 3.0915 hours
Step-by-step explanation:
The z-score measures how many standard deviations a score X is above or below the mean.
It is given by the following formula:
In which is the mean and
is the standard deviaition.
In all three cases, we have to find X
a. Final exam scores: Allison’s z-score = 2.30, μ = 74, σ = 7.
b. Weekly grocery bill: James’ z-score = –1.45, μ = $53, σ = $12.
Mean and standard deviation in dollars, so the answer also in dollars.
c. Daily video game play time: Eric’s z-score = –0.79, μ = 4.00 hours, σ = 1.15 hours.
Mean and standard deviation in hours, answer in hours.