Question

a pottery factory kept track of the number of broken plates per shipment last week. number of broken plates number of shipments 146 4 454 6 776 3 792 7 x is the number of broken plates that a randomly chosen shipment had. write the probability - distribution of x in the table below. write each probability as a decimal. x p(x) 146 454 776 792

Explanation:

Step1: Calculate total number of shipments

$4 + 6+3 + 7=20$

Step2: Calculate probability for $X = 146$

$P(X = 146)=\frac{4}{20}=0.2$

Step3: Calculate probability for $X = 454$

$P(X = 454)=\frac{6}{20}=0.3$

Step4: Calculate probability for $X = 776$

$P(X = 776)=\frac{3}{20}=0.15$

Step5: Calculate probability for $X = 792$

$P(X = 792)=\frac{7}{20}=0.35$

Answer:

$X$	$P(X)$
454	0.3
776	0.15
792	0.35