The probability that it rains at most 2 days is 0.00005995233 and the variance is 0.516
<h3>The probability that it rains at most 2 days</h3>
The given parameters are:
- Number of days, n = 7
- Probability that it rains, p = 95%
- Number of days it rains, x = 2 (at most)
The probability that it rains at most 2 days is represented as:
P(x ≤ 2) = P(0) + P(1) + P(2)
Each probability is calculated as:
So, we have:
So, we have:
P(x ≤ 2) =0.00000002097 + 0.00000168821 + 0.00005824315
P(x ≤ 2) = 0.00005995233
Hence, the probability that it rains at most 2 days is 0.00005995233
<h3>The mean</h3>
This is calculated as:
Mean = np
So, we have:
Mean = 7 * 92%
Evaluate
Mean = 6.44
Hence, the mean is 6.44
<h3>The standard deviation</h3>
This is calculated as:
σ = √np(1 - p)
So, we have:
σ = √7 * 92%(1 - 92%)
Evaluate
σ = 0.718
Hence, the standard deviation is 0.718
<h3>The variance</h3>
We have:
σ = 0.718
Square both sides
σ² = 0.718²
Evaluate
σ² = 0.516
This represents the variance
Hence, the variance is 0.516
Read more about normal distribution at:
brainly.com/question/4079902
#SPJ1
The answer is <span>a. $1.75 + $0.25x ≤ $15; x ≤ 53 miles
</span>
x - the number of miles
C - the cab charge
<span>A cab charges $1.75 for the flat fee and $0.25 for each mile: C = 1.75 + 0.25x.
</span><span>Eddie has $15 to spend. So, he cannot spend more than 15 on the cab and the maximum amount he can spend is 15. Therefore:
</span>1.75 + 0.25x ≤ 15
Now, let's solve it:
0.25x ≤ 15 - 1.75
0.25x ≤ 13.25
x ≤ 13.25 / 0.25
x ≤ 53
Answer:
1/14
Step-by-step explanation:
Let A represent the event First person getting red velvet cake
Let B represent the event Second person getting red velvet cake
P(A) = Total number of Red Velvet Cakes ÷ Total Number of Cakes =
6/21 = 2/7
If the first person gets a red velvet cake, then there are 5 red velvet cakes and 20 total cakes
Therefore P(B|A) = Number of red velvet cakes left ÷ total number of cakes left = 5/20 = 1/4
P(A and B) == probability of both getting red velvet cake P(A∩B) = P(A).P(B|A) = 2/7 × 1/4 = 2/28 = 1/14
Given :
A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional $110 per hour for each hour worked over 35 hours per week.
To Find :
A cashier worked 39 hours one week and 37 hours the second week.
Show and explain to the cashier how her salary calculated in this two-week period.
Solution :
Week 1 :
For first 35 hours he will get fixed amount i.e $540.
Now, for next four hours he will get $110 per hour.
So, total salary, T = 540 + (110×(39 - 35)
T = $980
Week 2 :
Total salary, T = 540 + ( 110×( 37 - 35 ))
T = $760
Therefore, salary of two week period is $( 980 + 760 ) = $1740.
Answer:
DE 12
Step-by-step explanation:
i dont know
