To solve this problem, we make use of the Binomial
Probability equation which is mathematically expressed as:
P = [n! / r! (n – r)!] p^r * q^(n – r)
where,
n = the total number of gadgets = 4
r = number of samples = 1 and 2 (since not more than 2)
p = probability of success of getting a defective gadget
q = probability of failure = 1 – p
Calculating for p:
p = 5 / 15 = 0.33
So,
q = 1 – 0.33 = 0.67
Calculating for P when r = 1:
P (r = 1) = [4! / 1! 3!] 0.33^1 * 0.67^3
P (r = 1) = 0.3970
Calculating for P when r = 2:
P (r = 2) = [4! / 2! 2!] 0.33^2 * 0.67^2
P (r = 2) = 0.2933
Therefore the total probability of not getting more than
2 defective gadgets is:
P = 0.3970 + 0.2933
P = 0.6903
Hence there is a 0.6903 chance or 69.03% probability of
not getting more than 2 defective gadgets.
Answer:
Step-by-step explanation:
The equation of a proportional relationship: y = mx.
METHOD 1:
We know: If x and y are in a proportional relationshi, then the ratio y/x is constant
We have P(3, 2) and Q(x, 6). Therefore
<em>cross multiply</em>
<em>divide both sides by 2</em>
METHOD 2:
<em>(look at the picture)</em>
The graph of y = mx is a straight line passes through the origin.
Step 1.
Plot point P(3, 2) on the graph.
Step 2.
Draw the line passes through he origin and point P.
Step 3.
Draw the line y = 6 <em>(6 from the coordinates of Q(x, 6))</em>
Step 4.
The intersection of lines is the point Q. Read the coordinte x.
Point seventeen or zero point seventeen
If you want it in fraction form it would be 4/5 but if you wanted it in the percentage it would be there is a 80% chance it will not be a get well card. Work: 4/5 x 2= 8/10 which converted into a percentage would be 80/100, or 80%. Hope this helped!
