Think about Digit's game of spinning the spinner. He wants to know the probability of the following events happening on two separate spins.

A: spinning praline wafer

B: spinning oven-baked apple & lavender calzone

Which formula should Digit use to find the probability?

P(A∩B)=P(A)⋅P(B|A)
P(A∪B)=P(A)+P(B)
P(A∪B)=P(A)+P(B)−P(A∩B)
P(A∩B)=P(A)⋅P(B)

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to