Answer:
0.9646 ; 0.5685
Step-by-step explanation:
Given that :
P(obtaining 3 on a die roll) = 1/6 = 0.1667
Obtaining 3 at most 2 times in five trials
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
n = 5 ;, p = 0.1667
P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)
Using the binomial probability :
P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608
P(x ≤ 2) = 0.9646
B.) using geometric distribution :
(1 - p)^x-1 * p
P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)
1 - (0.1667 + 0.1157+0.0965+0.0804)
= 0.5685
Answer:
Step-by-step explanation:
• Suppose the angle is PQR where Q is the midpoint.
• Keep the compass at angle vertex Q and adjust some wide setting (the width is not important).
• Without changing the compass, draw an arc across each leg of the angle
• Now keep the compasses on the point drawn on each leg, and draw an arc in the interior of the angle.
• Using a ruler, draw a line through the vertex to the point where the arcs cross
Answer:
Step-by-step explanation:
608 square inches
An ode is a type of lyrical stanza. It is an elaborately structured poem praising or glorifying an event or individual, describing nature intellectually as nicely as emotionally. A basic ode is structured in three major parts: the strophe, the antistrophe, and the epode.
Answer:
happy birthday
Step-by-step explanation:
thank you