Answer:
a) X has geometric distribution with parameter 0.2
b) The expected number of attempts before hitting the target is 5
c) The variance is 20, the standard deviation is √20
d) The probability that less than 5 throws are needed before hitting the target is 0.5904.
Step-by-step explanation:
a) X has geometric distribution, with parameter p=0.2.
b) If X is geometric with parameter p, then its mean is 1/p and the variance is 
. With p = 0.2, the mean is 1/0.2 = 5. As a consecuence, the expected number of attempts before hitting the target is 5.
c) The variance with p = 0.2 is 0.8/0.2² = 20. The standard deviation is √20.
d) The probability that it takes less than 5 throws before hitting the target can be computed with the probability of the complementary event: the probability that the first 4 targets miss. That probability is 0.8⁴=0.4096. Therefore, the probability that it will take less than 5 throws before hitting the target is 1-0.4096 = 0.5904.
Answer:
$1.44
Step-by-step explanation:
<u>Store A:</u>
12 bottles of water for $3.36
Then
48 bottles of water for 
(48 bottles is 4 times greater than 12 bottles)
<u>Store B:</u>
24 bottles of water for $6.00
Then
48 bottles of water for 
(48 bottles is twice greater than 24 bottles)
<u>Difference:</u>
Answer:
box X with 126 sq. cm. i hope this helps :)
Step-by-step explanation:
okay so we have box X which is 6 * 3 * 7 = 126
then we have box Y which is 11 * 2 * 5 = 110
so box X will hold more
Answer:
1⅗
Step-by-step explanation:
=44/5÷11/2
when two fractions are dividing,turn the division sign into multiplication sign and take the reciprocal of one fraction.That is,in one fraction let the numerator become the denominator and the denominator become the numerator
=44/5×2/11
then 11 goes into forty-four. 4
therefore
=4/5×2/1
=8/5
=1⅗
