The expanded form of 5,203 is 5,000+200+03
Answer:
i cant help you with this sorry
Step-by-step explanation:
Answer: Our required probability is 0.004672.
Step-by-step explanation:
Since we have given that
Number of adults = 7
Probability of getting adult will watch prime time TV live = 0.8
We need to find the probability that fewer than 3 of the selected adults watch prime time live.
We will use "Binomial Distribution":
here, n = 7
p = 0.8
So, P(X<3)=P(X=0)+P(X=1)+P(X=2)
So, it becomes,


So, probability that fewer than 3 of the selected adult watch prime time live is given by

Hence, our required probability is 0.004672.
Answer:
0.200
Step-by-step explanation:
∑ₓ₌₁⁴⁰ (1 + i)⁻ˣ = 5
∑ₓ₌₁⁴⁰ ((1 + i)⁻¹)ˣ = 5
This is a geometric series. The sum of the first n terms of a geometric series is:
S = a₁ (1 − rⁿ) / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = (1 + i)⁻¹, r = (1 + i)⁻¹, and n = 40. For simplicity, let's write both a₁ and r in terms of r. So a₁ = r and r = r.
5 = r (1 − r⁴⁰) / (1 − r)
5 (1 − r) = r (1 − r⁴⁰)
5 − 5r = r − r⁴¹
r⁴¹ − 6r + 5 = 0
Solving with a calculator, r ≈ 0.8334.
Therefore:
(1 + i)⁻¹ = 0.8334
1 + i = 1.200
i = 0.200