Consider a binomial experiment with n = 20 and p = .70.

if you calculate the binomial probabilities manually, make sure to carry at least 4 decimal digits in your calculations.

a) compute f(12) (to 4 decimals).
b) compute f(16) (to 4 decimals).
c) compute p(x 16) (to 4 decimals).
d) compute p(x 15) (to 4 decimals).
e) compute e(x). 14
f) compute var(x) (to 1 decimal) and (to 2 decimals).
var(x)
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Step-by-step explanation:

Given that X is binomial n=20: p=0.70

a) Compute f(12) (to 4 decimals).

=

b) Compute f(16) (to 4 decimals).

=

c) Compute P(x <16) (to 4 decimals).

=

d) Compute P(x <15) (to 4 decimals).

=

e) Compute E(x). =np = 14

f) Compute Var(x) (to 1 decimal) and (to 2 decimals).

Var(x)=npq=4.2

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

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step-by-step explanation: