Answer:
The probability that the customer is charged incorrectly on at most 2 items is 3.979 × 10⁻².
Step-by-step explanation:
To solve the question, we note that we proceed with the binomial distribution formula as follows
Number of times the customer is incorrectly charged out of ever 10 items = 4
Therefore, the probability that the customer is incorrectly charged is 4/10 = 0.4
That is p(incorrect) = 0.4
Then the probability that the customer is charged incorrectly on at most 2 items is
P(x≤2) = P(x=0) + P(x=1) + P(x=2)
= ₙC
× 
×
=
P(x=0) = ₁₄C₀ ×0.4⁰× 0.6¹⁴ = 7.836 × 10⁻⁴
P(x=1) = ₁₄C₁ ×0.4¹× 0.6¹³ = 7.314 × 10⁻³
P(x=2) = ₁₄C₂ ×0.4²× 0.6¹² = 3.169 × 10⁻²
∴ P(x≤2) = 7.836 × 10⁻⁴ + 7.314 × 10⁻³ + 3.169 × 10⁻² = 3.979 × 10⁻²
P(x≤2) = 3.979 × 10⁻².
Answer:
1. 6/6
2. 5/6
Step-by-step explanation
You did not give me the ex. Probability so I assumed that there were 6 equal parts. so the chance of not landing on a 6 is 5.
Answer: 20 days
Step-by-step explanation:
Since the sale agent makes 40 calls a day and about 15% he calls result in a sale. This means the number of sales will be:
= 15% × 40
= 0.15 × 40
= 6
6 sales out of every 40 calls per day.
The number of calls to make 120 sales will be:
= 15% of x = 120
0.15 × x = 120
0.15x = 120
x = 120/0.15
x = 800 calls
Since he needs 800 calls and he makes 40 calls per day, the number of days needed will be:
= 800/40
= 20 days
It's 20 because 1/3 x 60
60/3=20
Answer:
m³
Step-by-step explanation:
The volume (V) of the cuboid is calculated as
V = lbh ( l is length, b is breadth and h is height ) , then
V = 1 
× 
× 
( change mixed number to improper fraction )
= 
× × ( cancel the 5's, 4 and 8 by 4 and 9 and 6 by 3 )
= 
× 
× 
= m³
