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ons Exercise 05.32 Algo (Binomial Probability Distribution) Consider a binomial experiment with $n = 13$ and $p = 0.3$. a. Compute $f(0)$ (to 4 decimals). $f(0) = 0.0097$ b. Compute $f(6)$ (to 4 decimals). $f(6) = 0.2337$ c. Compute $P(x \le 1)$ (to 4 decimals). $P(x \le 1) = 0.6543$ d. Compute $P(x \ge 3)$ (to 4 decimals). $P(x \ge 3) = 0.0637$ e. Compute $E(x)$ (to 1 decimal). $E(x) = 3.9$ f. Compute $Var(x)$ and $\sigma$. $Var(x) = 2.73$ (to 2 decimals) $\sigma = 1.65$ (to 2 decimals)

          ons Exercise 05.32 Algo (Binomial Probability Distribution)
Consider a binomial experiment with $n = 13$ and $p = 0.3$.
a. Compute $f(0)$ (to 4 decimals).
$f(0) = 0.0097$
b. Compute $f(6)$ (to 4 decimals).
$f(6) = 0.2337$
c. Compute $P(x \le 1)$ (to 4 decimals).
$P(x \le 1) = 0.6543$
d. Compute $P(x \ge 3)$ (to 4 decimals).
$P(x \ge 3) = 0.0637$
e. Compute $E(x)$ (to 1 decimal).
$E(x) = 3.9$
f. Compute $Var(x)$ and $\sigma$.
$Var(x) = 2.73$ (to 2 decimals)
$\sigma = 1.65$ (to 2 decimals)

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ons Exercise 05.32 Algo (Binomial Probability Distribution)
Consider a binomial experiment with n = 13 and p = 0.3.
a. Compute f(0) (to 4 decimals).
f(0) = 0.0097
b. Compute f(6) (to 4 decimals).
f(6) = 0.2337
c. Compute P(x ≤ 1) (to 4 decimals).
P(x ≤ 1) = 0.6543
d. Compute P(x ≥ 3) (to 4 decimals).
P(x ≥ 3) = 0.0637
e. Compute E(x) (to 1 decimal).
E(x) = 3.9
f. Compute Var(x) and σ.
Var(x) = 2.73 (to 2 decimals)
σ = 1.65 (to 2 decimals)

Added by Diego G.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

Step 1

To compute f0, we use the formula for the binomial probability distribution: f0 = (n choose 0) * p^0 * (1-p)^(n-0) In this case, n = 13 and p = 0.3. Plugging in these values, we get: f0 = (13 choose 0) * 0.3^0 * (1-0.3)^(13-0) = 1 * 1 * 0.7^13 ≈ Show more…

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Exercise 05.32: Binomial Probability Distribution Consider a binomial experiment with n = 13 and p = 0.3. a. Compute f0 to 4 decimals. f0 = 0.0097. b. Compute f6 to 4 decimals. f6 = 0.2337. c. Compute P1 to 4 decimals. Px1 = 0.6543. d. Compute P(3) to 4 decimals. P3 = 0.0637. e. Compute E to 1 decimal. E = 3.9. f. Compute Var to 2 decimals. Var = 2.73.

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