Answer:
Step-by-step explanation:
We would assume a binomial distribution for the number of college students that said they use credit cards because of the rewards program. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 37% = 37/100 = 0.37
q = 1 - p = 1 - 0.37
q = 0.63
n = 10
a) P(x = 2)
Therefore,
P(x = 2) = 10C2 × 0.37^2 × 0.63^(10 - 2)
P(x = 2) = 45 × 0.1369 × 0.02481557803
P(x = 2) = 0.15
b) P(x>2) = 1 - P(x ≤ 2)
P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)
P(x = 0) = 10C0 × 0.37^0 × 0.63^(10 - 0) = 0.0098
P(x = 1) = 10C1 × 0.37^1 × 0.63^(10 - 1) = 0.058
P(x = 2) = 0.15
P(x ≤ 2) = 0.0098 + 0.058 + 0.15 = 0.22
P(x>2) = 1 - 0.22 = 0.78
Answer:
Step-by-step explanation:
A) either radius or diameter and height
V = πR²h or πD²h/4
B) Radius is half a diameter, R = 4 cm
C) Rather depends on how they are put together.
Placing the rectangular faces touching would make a cylinder
D) V = 3.14(4²)(2) = 100.48 ≈ 100 cm³
E) divide by 2
i.e. V = ½πR²h
F V = ½(3.14)(4²)(2) = 50.24 ≈ 50 cm³
Sum of interior angles=(n-2)180
3060=(n-2)180
3060/180=n-2
17=n-2
n=17+2
n=19..
Answer:
No
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they can tell the difference between Coke and pepsi, or they cannot. The probability that a person has o telling the difference between Coke and pepsi is independent from each other. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to the normal distribution if
and
In this problem, we have that:
First condition
Second condition
Multiplying by -1
p cannot be at the at the same time greather than 2/3 and lesser than 1/3. So we cannot assume that the sampling distribution of the proportion of people that correctly chose Pepsi is normal.
Answer:
250 degrees
Step-by-step explanation:
180-55 = 125
360-125= 250
