Question

Please let me know if you used LEFT, RIGHT, OR TWO TAIL for solving the answer. VERY IMPORTANT. I also give upvotes! For at least one of each type, please say why you used which tail. Solve using stats program.

The area under the curve to the left of 1.75

The area under the curve to the left of -0.68

The area under the curve to the right of 1.20

The area under the curve to the right of -2.82

The area under the curve between -2.22 and 0.53

The area under the curve between -1 and 1.

The area under the curve between -4 and 4.

Answer 1

Solution :-

P(z < 1.75 )

Using z table,

= 0.9599

Area = 0.9599

P(z < -0.68 )

Using z table,

= 0.2483

Area = 0.2483

P(z > 1.20 )

=1- P(z < 1.20 )

Using z table,

= 1 - 0.8849

= 0.1151

Area = 0.1151

P(z > -2.82 )

=1- P(z < -2.82 )

Using z table,

= 1 - 0.0024

= 0.9976

Area = 0.9976

= P( -2.22 < z < 0.53)

= P(z < 0.53 ) - P(z < -2.22)

Using z table,

= 0.7019 - 0.0132

= 0.6887

Area = 0.6887

P( -1 < z < 1)

= P(z < 1) - P(z < -1)

Using z table,

= 0.8413 - 0.1587

= 0.6826

Area = 0.6826

P( -4 < z < 4 )

= P(z < 4 ) - P(z < -4)

Using z table,

= 1.0000 - 0.0000

= 1.0000

Area = 1.0000