Answer: the probability it will come up heads 25 or fewer times is 0.019
Step-by-step explanation:
Given that;
n = 50
p = 0.65
so, q = 1 - p = 0.35
np = 50 × 0.65 = 32.5 ≥ 10
nq = 50 × 0.35 = 17.5 ≥ 10
so, we need to use Normal Approximation for the Binomial Distribution
μ = np = 50 × 0.65 = 32.5
σ = √(npq) = √( 50 × 0.65 × 0.35 ) = 3.3726
now, the probability that it will come up heads 25 or few times will be;
⇒ P( x≤25)
{using continuity correction}
⇒ P[ z < (25.5 - 32.5)/3.3726 ]
⇒ P[ z < -2.0755 ]
using z-table
= 0.01923 ≈ 0.019 { 3 decimal places}
Therefore the probability it will come up heads 25 or fewer times is 0.019
Answer:
(3x − 1)(x 8)
Step-by-step explanation:
G(x) = (x^2-6) / 2x
<span>g( n-5) = ( [n-5]^2 -6) / 2(n-5) </span>
<span>= ( n^2 -10n +25 -6 ) / 2(n-5) or ( n^2 -10n +25 -6 ) / (2n-10) </span>
<span>Your Answer </span>
<span>I did foil first and got n^2-10n+25 </span>
<span>then did 25-6 to get 19. </span>
<span>so n^2-10n+25 is on top.////// should have been n^2 -10n +19 </span>
<span>and the bottom is 2(n-5) so I distributed the 2 and got 2n-10 </span>
<span>so n^2-10n+25 </span>
<span>2n-10 </span>
<span>= (n^2 -10n +19) / 2(n-5)</span>