Answer:
a) Calculate the probability that at least one of them suffers from arachnophobia.
x = number of students suffering from arachnophobia
= P(x ≥ 1)
= 1 - P(x = 0)
= 1 - [0.05⁰ x (1 - 0.05)¹¹⁻⁰
]
= 1 - (0.95)¹¹
= 0.4311999 = 0.4312
b) Calculate the probability that exactly 2 of them suffer from arachnophobia? 0.08666
= P(x = 2)
= (¹¹₂) x (0.05)² x (0.95)⁹
where ¹¹₂ = 11! / (2!9!) = (11 x 10) / (2 x 1) = 55
= 55 x 0.0025 x 0.630249409 = 0.086659293 = 0.0867
c) Calculate the probability that at most 1 of them suffers from arachnophobia?
P(x ≤ 1)
= P(x = 0) + P(x = 1)
= [(¹¹₀) x 0.05⁰ x 0.95¹¹] + [(¹¹₁) x 0.05¹ x 0.95¹⁰]
= (1 x 1 x 0.5688) + (11 x 0.05 x 0.598736939) = 0.5688 + 0.3293 = 0.8981
The original selling price is found by multiplying 100% by $10 and adding that to the original $10. The logo shirt goes on the sale floor for $20. Each of the next three months, the reduced price is found by multiplying the current sale price by 75%. The tax is found by multiplying 5% by the final discounted price and adding the tax to the final sale price.
Answer:
1/48
Step-by-step explanation:
The probability of both happening is equal to the product of each probability.
P(A and B) = P(A) × P(B)
P = 1/12 × 1/4
P = 1/48
Answer:
x=27
Step-by-step explanation:
The mean is add all the numbers and divide by the number of points
(2+7+x)/3 =12
Multiply each side by 3
(2+7+x)/3 *3 =12*3
2+7+x = 36
Combine like terms
9+x = 36
Subtract 9 from each side
9+x-9 = 36-9
x = 27
Answer:
Step-by-step explanation:
1. The line contains the points (34,12) and (32,48). Then, you need to use the slope formula, which is:
2. When you substitute values into the formula, you obtain:
