23456789101112On a popular app, users rate hair salons as 1,2,3,4, or 5 stars. Suppose a rating is randomly selected from all the ratings on the app. Let X be the number stars of the selected rating. Here is the probability distribution of X.\begin{tabular}{|c|c|c|c|c|c|}\hline Value x of X & 1 & 2 & 3 & 4 & 5 \\\hlineP(X=x) & 0.25 & 0.19 & 0.09 & 0.21 & 0.26 \\\hline\end{tabular}For parts (a) and (b) below, find the probability that the randomly selected hair salon rating has the described number of stars.(a) At most 2:(b) More than 3:□
Q. 23456789101112On a popular app, users rate hair salons as 1,2,3,4, or 5 stars. Suppose a rating is randomly selected from all the ratings on the app. Let X be the number stars of the selected rating. Here is the probability distribution of X.\begin{tabular}{|c|c|c|c|c|c|}\hline Value x of X & 1 & 2 & 3 & 4 & 5 \\\hlineP(X=x) & 0.25 & 0.19 & 0.09 & 0.21 & 0.26 \\\hline\end{tabular}For parts (a) and (b) below, find the probability that the randomly selected hair salon rating has the described number of stars.(a) At most 2:(b) More than 3:□
Calculate Probability for 2 Stars: To find the probability of a rating being at most 2 stars, we add the probabilities of getting 1 star and 2 stars.Calculation: P(X=1)+P(X=2)=0.25+0.19
Evaluate Sum for 2 Stars: Evaluate the sum of the probabilities for at most 2 stars. 0.25+0.19=0.44
Calculate Probability for More than 3 Stars: To find the probability of a rating being more than 3 stars, we add the probabilities of getting 4 stars and 5 stars.Calculation: P(X=4)+P(X=5)=0.21+0.26
Evaluate Sum for More than 3 Stars: Evaluate the sum of the probabilities for more than 3 stars. 0.21+0.26=0.47
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