Answer: 2/5 of an hour
Step-by-step explanation:
ok so 5/8 = .625 just to begin with...
and as a ratio it would be .625 = .25
8/8 (1)
So I did .25x1=.25
.25x.625= 0.4 or as a fraction 2/5
Answer:
4.8
Step-by-step explanation:
When you multiply two negative number you get a positive number.
situation. If a random sample of 25 people are selected from such a population, what is the
probability that at least two will be displeased?
A) 0.045
B) 0.311
C) 0.373
D) 0.627
E) 0.689
The probability that at least two people will be displeased in a random sample of 25 people is approximately 0.202.
It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
This problem can be solved using the binomialdistribution since we have a fixed number of trials (selecting 25 people) and each trial has two possible outcomes (displeased or not displeased).
Let p be the probability of an individual being displeased, which is given as 0.045 (or 4.5% as a decimal).
Then, the probability of an individual not being displeased is:
1 - p = 0.955.
Let X be the number of displeasedpeople in a random sample of 25.
We want to find the probability that at least two people are displeased, which can be expressed as:
P(X ≥ 2) = 1 - P(X < 2)
To calculate P(X < 2), we can use the binomial distribution formula:
where n is the samplesize (25), k is the number of displeasedpeople, and (n choose k) is the binomial coefficient which represents the number of ways to choose k items from a set of n items.
For k = 0, we have:
≈ 0.378
For k = 1, we have:
≈ 0.42
Therefore,
P(X < 2) = P(X = 0) + P(X = 1) ≈ 0.798.
Finally, we can calculate,
P(X ≥ 2) = 1 - P(X < 2)
= 1 - 0.798
= 0.202.
Thus,
The probability that at least two people will be displeased in a random sample of 25 people is approximately 0.202.
Learn more about probability here:
#SPJ2
Answer:
Step-by-step explanation:
The correct answer is (B).
Let X = the number of people that are displeased in a random sample of 25 people selected from a population of which 4.5% will be displeased regardless of the situation. Then X is a binomial random variable with n = 25 and p = 0.045.
P(X ≥ 2) = 1 – P(X ≤ 1) = 1 – binomcdf(n: 25, p: 0.045, x-value: 1) = 0.311.
P(X ≥ 2) = 1 – [P(X = 0) + P(X = 1)] = 1 – 0C25(0.045)0(1 – 0.045)25 – 25C1(0.045)1(1 – 0.045)24 = 0.311.
Answer:
total no of outcomes are '15'
outcomes are shown below.
Step-by-step explanation:
A = {1, 2, 3, 4, 5 ,6 ,7}
subsets which will include {1, 3, 5}
hence, the outcome are :
{1,2,3,5}, {1,3,4,5}, {1,3,5,6}, {1,3,5,7}, {1,2,3,5,6},{1,2,3,5,7},{1,2,3,4,5}, {1,3,4,5,6}, {1,3,4,5,7}, {1,2,3,5,7},{1,2,3,5,6}, {1,3,5,6,7},{1,2,3,4,5,6},{1,2,3,4,5,7}, {1,2,3,4,5,6,7}
so the total no of outcomes are '15'
Answer:
9 x 4 = 36 divided by 2 = 18
Answer:
Step-by-step explanation:
We have been given that human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -1.5.
To find Sally's temperature we will use z-score formula.
, where = Mean, = Standard deviation.
Let us substitute our given values in z-score formula.
Multiply 0.62 to both sides of equation.
Add 98.20 to both sides of equation.
Therefore, Sally's temperature will be 97.27 degrees Fahrenheit.