A drawer is filled with 9 black shirts, 6 white shirts, and 5 gray shirts. One shirt is chosen at random from the drawer. Find t
2 answers:
Answer: 0.7
Step-by-step explanation:
Given : A drawer is filled with 9 black shirts, 6 white shirts, and 5 gray shirts.
Total shirts in the drawer = 9+6+5=20
Number of shirts that are not white = 20-6=14
Now, the if one shirt is chosen at random from the drawer. then the probability that it is not a white shirt will be :-
Hence, the required probability = 0.7
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Answer: a) 0.0792 b) 0.264
Step-by-step explanation:
Let Event D = Families own a dog .
Event C = families own a cat .
Given : Probability that families own a dog : P(D)=0.36
Probability that families own a dog also own a cat : P(C|D)=0.22
Probability that families own a cat : P(C)= 0.30
a) Formula to find conditional probability :
(1)
Similarly ,
Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792
b) Again, using (2)
Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264
Answer:
The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).
Step-by-step explanation:
The formula for estimating the population proportion by a confidence interval is given by:
Where:
is the sample's proportion of success, which in this case is the people that regularly lie during surveys,
is the critical value needed to find the tails of distribution related to the confidence level,
is the sample's size.
<u>First</u> we compute the value:
<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):
Now we can replace in the formula with the obtained values to compute the confidence interval:
